You do not have permission to edit this page, for the following reason:
You are not allowed to execute the action you have requested.
You can view and copy the source of this page.
Return to Zienkiewicz Codina 1995a.
Back to Top
Document information
Published on 01/01/1995
DOI: 10.1002/fld.1650200812
Licence: CC BY-NC-SA license
Web of Science Core Collection® Times cited: 281
Crossref Cited-by Times cited: 253
OpenCitations.net Times cited: 154
OpenCitations.net - Citing documents:
- P. Nithiarasu, O. Zienkiewicz. On stabilization of the CBS algorithm: Internal and external time steps. Int. J. Numer. Meth. Engng. 48(6) DOI 10.1002/(sici)1097-0207(20000630)48:6<875::aid-nme907>3.0.co;2-u
- X. Li, S. Cescotto, H. Thomas. Finite-Element Method for Contaminant Transport in Unsaturated Soils. Journal of Hydrologic Engineering 4(3) DOI 10.1061/(asce)1084-0699(1999)4:3(265)
- Z. Han, D. Zhou, J. Tu. Wake-Induced Vibrations of a Circular Cylinder behind a Stationary Square Cylinder Using a Semi-Implicit Characteristic-Based Split Scheme. J. Eng. Mech. 140(8) DOI 10.1061/(asce)em.1943-7889.0000727
- M. Nabian, L. Farhadi. Multiphase Mesh-Free Particle Method for Simulating Granular Flows and Sediment Transport. J. Hydraul. Eng. 143(4) DOI 10.1061/(asce)hy.1943-7900.0001275
- J. Mynard, P. Nithiarasu. A 1D arterial blood flow model incorporating ventricular pressure, aortic valve and regional coronary flow using the locally conservative Galerkin (LCG) method. Commun. Numer. Meth. Engng. 24(5) (2008) DOI 10.1002/cnm.1117
- I. Sazonov, S. Yeo, R. Bevan, X. Xie, R. van Loon, P. Nithiarasu. Modelling pipeline for subject-specific arterial blood flow-A review. Int. J. Numer. Meth. Biomed. Engng. 27(12) (2011) DOI 10.1002/cnm.1446
- R. Codina, O. Zienkiewicz. CBS versus GLS stabilization of the incompressible Navier-Stokes equations and the role of the time step as stabilization parameter. Commun. Numer. Meth. Engng. 18(2) (2001) DOI 10.1002/cnm.470
- P. Nithiarasu, C. Liu, N. Massarotti. Laminar and turbulent flow calculations through a model human upper airway using unstructured meshes. Commun. Numer. Meth. Engng. 23(12) (2006) DOI 10.1002/cnm.939
- B. Ataie-Ashtiani, L. Farhadi. A stable moving-particle semi-implicit method for free surface flows. Fluid Dyn. Res. 38(4) (2009) DOI 10.1016/j.fluiddyn.2005.12.002
- R. Herbin, W. Kheriji, J. Latché. On some implicit and semi-implicit staggered schemes for the shallow water and Euler equations. ESAIM: M2AN 48(6) (2014) DOI 10.1051/m2an/2014021
- T. Gallouët, L. Gastaldo, R. Herbin, J. Latché. An unconditionally stable pressure correction scheme for the compressible barotropic Navier-Stokes equations. ESAIM: M2AN 42(2) (2008) DOI 10.1051/m2an:2008005
- P. Nithiarasu, I. Sazonov, S. Yeo. Scan-Based Flow Modelling in Human Upper Airways. (2011) DOI 10.1007/8415_2011_100
- R. Linn, A. Awruch. Edge-based anisotropic mesh adaptation of unstructured meshes with applications to compressible flows. Engineering with Computers 33(4) (2017) DOI 10.1007/s00366-017-0513-2
- A. Kulawik, A. Bokota. Modelling of Heat Treatment of Steel Elements with the Movement of Coolant. 56(2) DOI 10.2478/v10172-011-0037-5
- O. Zienkiewicz. Origins, milestones and directions of the finite element method— A personal view. ARCO 2(1) DOI 10.1007/bf02736188
- P. Nithiarasu, K. Seetharamu, T. Sundararajan. Finite element modelling of flow, heat and mass transfer in fluid saturated porous media. ARCO 9(1) DOI 10.1007/bf02736231
- D. Lo, C. Hsieh, D. Young. An embedding finite element method for viscous incompressible flows with complex immersed boundaries on Cartesian grids. Engineering Computations 31(4) DOI 10.1108/ec-04-2012-0090
- R. Bevan, P. Nithiarasu. A dual time stepping approach to eliminate first order error in fractional step methods for incompressible flows. Int Jnl of Num Meth for HFF 26(2) DOI 10.1108/hff-03-2015-0090
- R. Bevan, E. Boileau, R. van Loon, R. Lewis, P. Nithiarasu. A comparative study of fractional step method in its quasi-implicit, semi-implicit and fully-explicit forms for incompressible flows. Int Jnl of Num Meth for HFF 26(3/4) DOI 10.1108/hff-06-2015-0233
- Y. Hu, D. Wang, J. Yin, Y. Wang. Numerical analysis of single pad of thrust bearing with the energy equation solved by the characteristic-based split method. Advances in Mechanical Engineering 7(9) (2015) DOI 10.1177/1687814015606282
- S. Phongthanapanich, P. Dechaumphai. An explicit characteristic finite volume element method for non-divergence free convection–diffusion-reaction equation. Int J Adv Eng Sci Appl Math 4(3) (2012) DOI 10.1007/s12572-012-0071-1
- W. Kang, J. Zhang, P. Feng. Aerodynamic Analysis of a Localized Flexible Airfoil at Low Reynolds Numbers. Commun. comput. phys. 11(4) (2015) DOI 10.4208/cicp.070510.150511s
- L. Könözsy, D. Drikakis. A Unified Fractional-Step, Artificial Compressibility and Pressure-Projection Formulation for Solving the Incompressible Navier-Stokes Equations. Commun. comput. phys. 16(5) (2015) DOI 10.4208/cicp.240713.080514a
- J. Chessa, T. Belytschko. An Extended Finite Element Method for Two-Phase Fluids. 70(1) (2003) DOI 10.1115/1.1526599
- J. Garcı´a, E. On˜ate. An Unstructured Finite Element Solver for Ship Hydrodynamics Problems. 70(1) (2003) DOI 10.1115/1.1530631
- G. Ateshian, J. Shim, S. Maas, J. Weiss. Finite Element Framework for Computational Fluid Dynamics in FEBio. 140(2) (2018) DOI 10.1115/1.4038716
- X. Zhou, Q. Zhang. Numerical Simulation of Fluid-Structure Interaction for Tension Membrane Structures. AMR 457-458 (2012) DOI 10.4028/www.scientific.net/amr.457-458.1062
- J. Zhang. Nonlinear Dynamics of Incompressible Flow. (2011) DOI 10.1007/978-1-4614-1469-8_10
- T. He, D. Zhou, Z. Han, J. Tu, J. Ma. Partitioned subiterative coupling schemes for aeroelasticity using combined interface boundary condition method. International Journal of Computational Fluid Dynamics 28(6-10) (2014) DOI 10.1080/10618562.2014.927057
- Q. Shui, D. Wang, Z. He, J. Huang. Least Square Finite Element Method for Viscous Splitting of Unsteady Incompressible Navier–Stokes Equations. China Ocean Eng 32(4) (2018) DOI 10.1007/s13344-018-0052-7
- M. Pastor, O. Zienkiewicz, T. Li, L. Xiaoqing, M. Huang. Stabilized finite elements with equal order of interpolation for soil dynamics problems. Arch Computat Methods Eng 6(1) DOI 10.1007/bf02828328
- M. Pastor, T. Li, X. Liu, O. Zienkiewicz, M. Quecedo. A fractional step algorithm allowing equal order of interpolation for coupled analysis of saturated soil problems. Mech. Cohes.-Frict. Mater. 5(7) (2000) DOI 10.1002/1099-1484(200010)5:7<511::aid-cfm87>3.0.co;2-s
- M. Quecedo, M. Pastor. Application of the level set method to the finite element solution of two-phase flows. Int. J. Numer. Meth. Engng. 50(3) (2001) DOI 10.1002/1097-0207(20010130)50:3<645::aid-nme42>3.0.co;2-2
- G. Buscaglia, F. Basombr�o, R. Codina. Fourier analysis of an equal-order incompressible flow solver stabilized by pressure gradient projection. Int. J. Numer. Meth. Fluids 34(1) (2000) DOI 10.1002/1097-0363(20000915)34:1<65::aid-fld56>3.0.co;2-j
- S. Phongthanapanich, P. Dechaumphai. Explicit characteristic finite volume method for convection–diffusion equation on rectangular grids. Journal of the Chinese Institute of Engineers 34(2) DOI 10.1080/02533839.2011.565589
- L. Xikui, W. Wenhua. Characteristic Galerkin method for convection-diffusion equations and implicit algorithm using precise integration. Acta Mech Sinica 15(4) DOI 10.1007/bf02487935
- R. Chen, S. Shao, X. Liu. Water–sediment flow modeling for field case studies in Southwest China. Nat Hazards 78(2) (2015) DOI 10.1007/s11069-015-1765-z
- S. Traivivatana, P. Boonmarlert, P. Theeraek, S. Phongthanapanich, P. Dechaumphai. Combined adaptive meshing technique and characteristic-based split algorithm for viscous incompressible flow analysis. Appl Math Mech 28(9) DOI 10.1007/s10483-007-0904-x
- M. Nickaeen, A. Ashrafizadeh, S. Turek. An Alternative Strategy for the Solution of Heat and Incompressible Fluid Flow Problems via the Finite Volume Method. Numerical Heat Transfer, Part A: Applications 62(5) DOI 10.1080/10407782.2012.703465
- D. C. Wan, B. S. V. Patnaik, G. W. Wei. A NEW BENCHMARK QUALITY SOLUTION FOR THE BUOYANCY-DRIVEN CAVITY BY DISCRETE SINGULAR CONVOLUTION. Numerical Heat Transfer, Part B: Fundamentals 40(3) DOI 10.1080/104077901752379620
- L. Jin, H. Shen. Projection- and characteristic-based operator-splitting simulation of mixed convection flow coupling heat transfer and fluid flow in a lid-driven square cavity. Numerical Heat Transfer, Part B: Fundamentals 70(4) (2016) DOI 10.1080/10407790.2016.1215694
- M. Darbandi, I. Mazaberi, A. Dehkordi, G. Schneider. The Level set Modeling of Droplet Dynamic in Fluid-Fluid Interaction. (2012) DOI 10.2514/6.2009-4292
- S. Lee, H. Cho, H. Kim, S. Shin. Expedited Aeroelastic Analysis Using Proper Orthogonal Decomposition and Reduced Order Modelling. (2019) DOI 10.2514/6.2019-1024
- T. Lee, C. Lin, C. Friehe. Large-eddy simulation of air flow around a wall-mounted circular cylinder and a tripod tower. Journal of Turbulence 8 (2009) DOI 10.1080/14685240701383122
- X. Sun, J. Zhang. Finite-Element Analysis of Nonlinear Fluid–Membrane Interactions Using a Modified Characteristic-Based Split (CBS) Scheme. (2016) DOI 10.1007/978-3-319-28764-5_3
- W. Kang, X. Dai. Lock-In Behaviors of an Airfoil with Local Excitation in Low-Reynolds-Number Flow. (2016) DOI 10.1007/978-3-319-28764-5_4
- W. Wu, X. Li. Mixed finite element method for generalized convection-diffusion equations based on an implicit characteristic-based algorithm. Acta Mechanica 191(3-4) (2007) DOI 10.1007/s00707-006-0437-1
- W. Wang, X. Li, X. Han. Numerical simulation and experimental verification of the filling stage in injection molding. Polym Eng Sci 52(1) (2011) DOI 10.1002/pen.22043
- H. Tang, S. Lu, Y. Zhou, X. Xu, Y. Xiao. Water environment improvements in Zhenjiang City, China. Proceedings of the Institution of Civil Engineers - Municipal Engineer 161(1) DOI 10.1680/muen.2008.161.1.11
- B. Markert. A Biphasic Continuum Approach for Viscoelastic High-Porosity Foams: Comprehensive Theory, Numerics, and Application. Arch Computat Methods Eng 15(4) (2008) DOI 10.1007/s11831-008-9023-0
- M. Cruchaga, L. Battaglia, M. Storti, J. D’Elía. Numerical Modeling and Experimental Validation of Free Surface Flow Problems. Arch Computat Methods Eng 23(1) (2014) DOI 10.1007/s11831-014-9138-4
- S. Marras, J. Kelly, M. Moragues, A. Müller, M. Kopera, M. Vázquez, F. Giraldo, G. Houzeaux, O. Jorba. A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin. Arch Computat Methods Eng 23(4) (2015) DOI 10.1007/s11831-015-9152-1
- T. He, K. Zhang. An Overview of the Combined Interface Boundary Condition Method for Fluid–Structure Interaction. Arch Computat Methods Eng 24(4) (2016) DOI 10.1007/s11831-016-9193-0
- M. Kouhi, E. Oñate. An implicit stabilized finite element method for the compressible Navier–Stokes equations using finite calculus. Comput Mech 56(1) (2015) DOI 10.1007/s00466-015-1161-2
- O. Sequeiros, A. Cantelli, E. Viparelli, J. White, M. García, G. Parker. Modeling turbidity currents with nonuniform sediment and reverse buoyancy. Water Resour. Res. 45(6) (2009) DOI 10.1029/2008wr007422
- X. Li, X. Han. An iterative stabilized fractional step algorithm for numerical solution of incompressible N-S equations. Int. J. Numer. Meth. Fluids 49(4) (2005) DOI 10.1002/fld.1003
- C. Lin, H. Lee, T. Lee, L. Weber. A level set characteristic Galerkin finite element method for free surface flows. Int. J. Numer. Meth. Fluids 49(5) (2005) DOI 10.1002/fld.1006
- L. Gutiérrez, R. Bermejo. A semi-Lagrangian level set method for incompressible Navier-Stokes equations with free surface. Int. J. Numer. Meth. Fluids 49(10) (2005) DOI 10.1002/fld.1041
- B. Celik, F. Edis. Analysis of fluid flow through micro-fluidic devices using characteristic-based-split procedure. Int. J. Numer. Meth. Fluids 51(9-10) (2006) DOI 10.1002/fld.1197
- A. Shamekhi, K. Sadeghy. On the use of characteristic-based split meshfree method for solving flow problems. Int. J. Numer. Meth. Fluids 56(10) (2008) DOI 10.1002/fld.1529
- C. Liu, P. Nithiarasu. The characteristic-based split (CBS) scheme for viscoelastic flow past a circular cylinder. Int. J. Numer. Meth. Fluids 57(2) (2008) DOI 10.1002/fld.1625
- O. Zienkiewicz, K. Morgan, B. Sai, R. Codina, M. Vasquez. A general algorithm for compressible and incompressible flow—Part II. tests on the explicit form. Int. J. Numer. Meth. Fluids 20(8-9) DOI 10.1002/fld.1650200813
- O. Zienkiewicz, P. Ortiz. A split-characteristic based finite element model for the shallow water equations. Int. J. Numer. Meth. Fluids 20(8-9) DOI 10.1002/fld.1650200823
- C. Thomas, P. Nithiarasu, R. Bevan. The locally conservative Galerkin (LCG) method for solving the incompressible Navier-Stokes equations. Int. J. Numer. Meth. Fluids 57(12) DOI 10.1002/fld.1683
- P. Nithiarasu, O. Hassan, K. Morgan, N. Weatherill, C. Fielder, H. Whittet, P. Ebden, K. Lewis. Steady flow through a realistic human upper airway geometry. Int. J. Numer. Meth. Fluids 57(5) (2008) DOI 10.1002/fld.1805
- C. Liu, P. Nithiarasu. An artificial‐dissipation‐based fractional step scheme for upper‐convected Maxwell (UCM) fluid flow past a circular cylinder. Int. J. Numer. Meth. Fluids 57(9) DOI 10.1002/fld.1807
- Y. Bao, D. Zhou, Y. Zhao. A two-step Taylor-characteristic-based Galerkin method for incompressible flows and its application to flow over triangular cylinder with different incidence angles. Int. J. Numer. Meth. Fluids DOI 10.1002/fld.2054
- M. Quecedo, M. Pastor. A reappraisal of Taylor-Galerkin algorithm for drying-wetting areas in shallow water computations. Int. J. Numer. Meth. Fluids 38(6) (2002) DOI 10.1002/fld.225
- R. Bevan, P. Nithiarasu, R. Van Loon, I. Sazonov, H. Luckraz, A. Garnham. Application of a locally conservative Galerkin (LCG) method for modelling blood flow through a patient-specific carotid bifurcation. Int. J. Numer. Meth. Fluids 64(10-12) (2010) DOI 10.1002/fld.2313
- A. Firoozjaee, M. Afshar. Steady-state solution of incompressible Navier-Stokes equations using discrete least-squares meshless method. Int. J. Numer. Meth. Fluids 67(3) (2010) DOI 10.1002/fld.2370
- S. Phongthanapanich, P. Dechaumphai. Explicit characteristic-based finite volume element method for level set equation. Int. J. Numer. Meth. Fluids 67(7) (2010) DOI 10.1002/fld.2399
- X. Wang, J. Ouyang. Time-related element-free Taylor-Galerkin method with non-splitting decoupling process for incompressible steady flow. Int. J. Numer. Meth. Fluids 68(7) (2011) DOI 10.1002/fld.2582
- P. Ryzhakov, R. Rossi, E. Oñate. An algorithm for the simulation of thermally coupled low speed flow problems. Int. J. Numer. Meth. Fluids 70(1) (2011) DOI 10.1002/fld.2674
- M. Kouhi, E. Oñate. A stabilized finite element formulation for high-speed inviscid compressible flows using finite calculus. Int. J. Numer. Meth. Fluids 74(12) (2014) DOI 10.1002/fld.3877
- V. Kotteda, S. Mittal. Stabilized finite-element computation of compressible flow with linear and quadratic interpolation functions. Int. J. Numer. Meth. Fluids 75(4) (2014) DOI 10.1002/fld.3894
- P. Gao, J. Ouyang, P. Dai, W. Zhou. A coupled continuous and discontinuous finite element method for the incompressible flows. Int. J. Numer. Meth. Fluids 84(8) (2017) DOI 10.1002/fld.4358
- C. Jiang, Z. Zhang, X. Han, G. Liu, T. Lin. A cell-based smoothed finite element method with semi-implicit CBS procedures for incompressible laminar viscous flows. Int J Numer Meth Fluids 86(1) (2017) DOI 10.1002/fld.4406
- T. He, J. Yang, C. Baniotopoulos. Improving the CBS-based partitioned semi-implicit coupling algorithm for fluid-structure interaction. Int J Numer Meth Fluids 87(9) (2018) DOI 10.1002/fld.4501
- Y. Tang, B. Yue, Y. Yan. Improved method for implementing contact angle condition in simulation of liquid sloshing under microgravity. Int J Numer Meth Fluids 89(4-5) (2018) DOI 10.1002/fld.4685
- S. Liao, Y. Zhang, D. Chen. A Galerkin finite element algorithm based on third‐order Runge‐Kutta temporal discretization along the uniform streamline for unsteady incompressible flows. Int J Numer Meth Fluids 90(7) (2019) DOI 10.1002/fld.4722
- P. Nithiarasu. An arbitrary Lagrangian Eulerian (ALE) formulation for free surface flows using the characteristic-based split (CBS) scheme. Int. J. Numer. Meth. Fluids 48(12) (2005) DOI 10.1002/fld.987
- G. Hauke, A. Landaberea, I. Garmendia, J. Canales. A segregated method for compressible flow computation. Part II: general divariant compressible flows. Int. J. Numer. Meth. Fluids 49(2) (2005) DOI 10.1002/fld.999
- I. de-Pouplana, E. Oñate. A FIC-based stabilized mixed finite element method with equal order interpolation for solid-pore fluid interaction problems. Int. J. Numer. Anal. Meth. Geomech. 41(1) (2016) DOI 10.1002/nag.2550
- X. Li, X. Zhang, X. Han, D. Sheng. An iterative pressure-stabilized fractional step algorithm in saturated soil dynamics. Int. J. Numer. Anal. Meth. Geomech. DOI 10.1002/nag.829
- A. Bardow, I. Karlin, A. Gusev. Multispeed models in off-lattice Boltzmann simulations. Phys. Rev. E 77(2) (2008) DOI 10.1103/physreve.77.025701
- P. Nithiarasu. A Matrix Free Fractional Step Method for Static and Dynamic Incompressible Solid Mechanics. International Journal for Computational Methods in Engineering Science and Mechanics 7(5) DOI 10.1080/15502280600790637
- B. Celik, F. Edis. Computational Investigation of Micro Bacward-Facing Step Duct Flow in Slip Regime. Nanoscale and Microscale Thermophysical Engineering 11(3-4) DOI 10.1080/15567260701715438
- C. Huang, D. Zhou, Y. Bao. A semi-implicit three-step method based on SUPG finite element formulation for flow in lid driven cavities with different geometries. J. Zhejiang Univ. Sci. A 12(1) (2011) DOI 10.1631/jzus.a1000098
- T. Blanc, M. Pastor. Towards SPH modelling of failure problems in geomechanics. European Journal of Environmental and Civil Engineering 15(sup1) (2011) DOI 10.1080/19648189.2011.9695303
- L. Zhao, T. Li, L. Wang, M. Herreros, M. Pastor. Fractional-Step Finite Element Method for Calculation of 3-D Free Surface Problem Using Level Set Method. J Hydrodyn 18(6) (2006) DOI 10.1016/s1001-6058(07)60015-8
- Y. Zhou, H. Tang, X. Liu. A Split-Characteristic Finite Element Model for 1-D Unsteady Flows. J Hydrodyn 19(1) (2007) DOI 10.1016/s1001-6058(07)60028-6
- K. Morgan, J. Peraire. Unstructured grid finite-element methods for fluid mechanics. Rep. Prog. Phys. 61(6) (1999) DOI 10.1088/0034-4885/61/6/001
- S. Choi, B. Kim, S. Kim, K. Han. 2-D SU/PG Finite Element Model Using Quadratic Elements. Journal of Korea Water Resources Association 42(12) DOI 10.3741/jkwra.2009.42.12.1053
- R. Bertelle, M. Russo, M. Venturin. On the application of the minimum polynomial extrapolation method to incompressible flows with heat transfer. Calcolo 48(1) (2010) DOI 10.1007/s10092-010-0026-5
- A. SHAMEKHI, K. SADEGHY. LID-DRIVEN CAVITY SIMULATION BY MESH-FREE METHOD. Int. J. Comput. Methods 04(03) (2011) DOI 10.1142/s0219876207001230
- X. Sun, J. Zhang, G. Mei. An Improved Characteristic Based Split Scheme for Compressible and Incompressible Moving Boundary Flows. International Journal of Aerospace and Lightweight Structures (IJALS) 02(02) (2012) DOI 10.3850/s2010428612000360
- C. Huang, B. Yan, D. Zhou, J. Xu. Stabilized finite element technique and its application for turbulent flow with high Reynolds number. Wind and Structures An International Journal 14(5) DOI 10.12989/was.2011.14.5.465
- T. He. Partitioned coupling strategies for fluid-structure interaction with large displacement: Explicit, implicit and semi-implicit schemes. Wind and Structures 20(3) DOI 10.12989/was.2015.20.3.423
- K. Yun, H. Lee, N. Lee. Dam-Break and Transcritical Flow Simulation of 1D Shallow Water Equations with Discontinuous Galerkin Finite Element Method. Journal of The Korean Society of Civil Engineers 34(5) DOI 10.12652/ksce.2014.34.5.1383
- D. Shih, G. Yeh. Using a characteristic-based particle tracking method to solve one-dimensional fully dynamic wave flow. Comput Geosci 22(2) (2017) DOI 10.1007/s10596-017-9703-7
- P. Nithiarasu. On boundary conditions of the characteristic based split (CBS) algorithm for fluid dynamics. Int. J. Numer. Meth. Engng. 54(4) (2002) DOI 10.1002/nme.434
- C. Jiang, Z. Zhang, X. Han, G. Liu, G. Gao, T. Lin. A quasi-implicit characteristic-based penalty finite-element method for incompressible laminar viscous flows. Int J Numer Methods Eng 114(2) (2018) DOI 10.1002/nme.5738
- P. Nithiarasu. An efficient artificial compressibility (AC) scheme based on the characteristic based split (CBS) method for incompressible flows. Int. J. Numer. Meth. Engng. 56(13) (2003) DOI 10.1002/nme.712
- J. Chessa, T. Belytschko. An enriched finite element method and level sets for axisymmetric two-phase flow with surface tension. Int. J. Numer. Meth. Engng. 58(13) (2003) DOI 10.1002/nme.946
- S. Phongthanapanich, P. Dechaumphai. An explicit finite volume element method for solving characteristic level set equation on triangular grids. Acta Mech Sin 27(6) (2011) DOI 10.1007/s10409-011-0480-6
- B. Abali. An Accurate Finite Element Method for the Numerical Solution of Isothermal and Incompressible Flow of Viscous Fluid. Fluids 4(1) (2019) DOI 10.3390/fluids4010005
- M. Huang, Z. Yue, L. Tham, O. Zienkiewicz. On the stable finite element procedures for dynamic problems of saturated porous media. Int. J. Numer. Meth. Engng. 61(9) (2004) DOI 10.1002/nme.1115
- B. Boroomand, B. Khalilian. On using linear elements in incompressible plane strain problems: a simple edge based approach for triangles. Int. J. Numer. Meth. Engng. 61(10) (2004) DOI 10.1002/nme.1121
- V. Salomoni, B. Schrefler. A CBS-type stabilizing algorithm for the consolidation of saturated porous media. Int. J. Numer. Meth. Engng 63(4) (2005) DOI 10.1002/nme.1275
- P. Nithiarasu, C. Liu. Steady and unsteady incompressible flow in a double driven cavity using the artificial compressibility (AC)-based characteristic-based split (CBS) scheme. Int. J. Numer. Meth. Engng 63(3) (2005) DOI 10.1002/nme.1280
- J. Rojek, E. Oñate, R. Taylor. CBS-based stabilization in explicit solid dynamics. Int. J. Numer. Meth. Engng 66(10) DOI 10.1002/nme.1689
- M. Morandi-Cecchi, M. Venturin. Characteristic-based split (CBS) algorithm finite element modelling for shallow waters in the Venice lagoon. Int. J. Numer. Meth. Engng 66(10) DOI 10.1002/nme.1690
- V. Salomoni, B. Schrefler. Stabilized-coupled modelling of creep phenomena for saturated porous media. Int. J. Numer. Meth. Engng 66(10) DOI 10.1002/nme.1694
- R. Codina, H. Coppola-Owen, P. Nithiarasu, C. Liu. Numerical comparison of CBS and SGS as stabilization techniques for the incompressible Navier–Stokes equations. Int. J. Numer. Meth. Engng 66(10) DOI 10.1002/nme.1697
- P. Nithiarasu, R. Codina, O. Zienkiewicz. The Characteristic-Based Split (CBS) scheme—a unified approach to fluid dynamics. Int. J. Numer. Meth. Engng 66(10) DOI 10.1002/nme.1698
- N. Massarotti, F. Arpino, R. Lewis, P. Nithiarasu. Explicit and semi-implicit CBS procedures for incompressible viscous flows. Int. J. Numer. Meth. Engng 66(10) DOI 10.1002/nme.1700
- C. Thomas, P. Nithiarasu. An element-wise, locally conservative Galerkin (LCG) method for solving diffusion and convection–diffusion problems. Int. J. Numer. Meth. Engng 73(5) (2008) DOI 10.1002/nme.2095
- P. De Micheli, K. Mocellin. A new efficient explicit formulation for linear tetrahedral elements non-sensitive to volumetric locking for infinitesimal elasticity and inelasticity. Int. J. Numer. Meth. Engng 79(1) DOI 10.1002/nme.2539
- A. Malan, R. Lewis. An artificial compressibility CBS method for modelling heat transfer and fluid flow in heterogeneous porous materials. Int. J. Numer. Meth. Engng. 87(1-5) (2011) DOI 10.1002/nme.3125
- G. Wijaya, T. Bui, W. Kanok-Nukulchai. Numerical simulation of tsunami propagation using the characteristic-based split method. JOMMS 3(10) DOI 10.2140/jomms.2008.3.1939
- D. Zhou, Z. Han, J. Tu, W. Sun. Flow characteristics and dynamic responses of a rear circular cylinder behind the square cylinder with different side lengths. J VIBROENG 19(4) DOI 10.21595/jve.2017.17611
- K. Chongbunwatana. Simulation of vapour keyhole and weld pool dynamics during laser beam welding. Prod. Eng. Res. Devel. 8(4) (2014) DOI 10.1007/s11740-014-0555-x
- C. Nonino. A SIMPLE PRESSURE STABILIZATION FOR A SIMPLE-LIKE EQUAL-ORDER FEM ALGORITHM. Numerical Heat Transfer, Part B: Fundamentals 44(1) DOI 10.1080/713836335
- O. ZIENKIEWICZ, B. SATYA SAI, K. MORGAN, R. CODINA. SPLIT, CHARACTERISTIC BASED SEMI-IMPLICIT ALGORITHM FOR LAMINAR/TURBULENT INCOMPRESSIBLE FLOWS. Int. J. Numer. Meth. Fluids 23(8) DOI 10.1002/(sici)1097-0363(19961030)23:8<787::aid-fld452>3.0.co;2-4
- E. Oñate, J. García, S. Idelsohn. Computation of the stabilization parameter for the finite element solution of advective-diffusive problems. Int. J. Numer. Meth. Fluids 25(12) DOI 10.1002/(sici)1097-0363(19971230)25:12<1385::aid-fld678>3.0.co;2-7
- R. Codina, M. Vázquez, O. Zienkiewicz. A general algorithm for compressible and incompressible flows. Part III: The semi-implicit form. Int. J. Numer. Meth. Fluids 27(1-4) DOI 10.1002/(sici)1097-0363(199801)27:1/4<13::aid-fld647>3.0.co;2-8
- B. Sai, O. Zienkiewicz, M. Manzari, P. Lyra, K. Morgan. General purpose versus special algorithms for high-speed flows with shocks. Int. J. Numer. Meth. Fluids 27(1-4) DOI 10.1002/(sici)1097-0363(199801)27:1/4<57::aid-fld650>3.0.co;2-c
- P. Nithiarasu, O. Zienkiewicz, B. Sai, K. Morgan, R. Codina, M. Vázquez. Shock capturing viscosities for the general fluid mechanics algorithm. Int. J. Numer. Meth. Fluids 28(9) DOI 10.1002/(sici)1097-0363(19981215)28:9<1325::aid-fld765>3.0.co;2-1
- O. Zienkiewicz, P. Nithiarasu, R. Codina, M. Vázquez, P. Ortiz. The characteristic-based-split procedure: an efficient and accurate algorithm for fluid problems. Int. J. Numer. Meth. Fluids 31(1) (2001) DOI 10.1002/(sici)1097-0363(19990915)31:1<359::aid-fld984>3.0.co;2-7
- P. De Sampaio, M. Moreira. A new finite element formulation for both compressible and nearly incompressible fluid dynamics. Int. J. Numer. Meth. Fluids 32(1) DOI 10.1002/(sici)1097-0363(20000115)32:1<43::aid-fld928>3.0.co;2-4
- D. Wang, H. Wang, J. Xiong, L. Tham. Characteristic-based operator-splitting finite element method for Navier-Stokes equations. Sci. China Technol. Sci. 54(8) (2011) DOI 10.1007/s11431-011-4444-7
- R. Chen, X. Liu, S. Cao, Z. Guo. Numerical simulation of deposit in confluence zone of debris flow and mainstream. Sci. China Technol. Sci. 54(10) (2011) DOI 10.1007/s11431-011-4510-1
- J. Liao, Z. Zhuang. A Lagrange-multiplier-based XFEM to solve pressure Poisson equations in problems with quasi-static interfaces. Sci. China Phys. Mech. Astron. 55(4) (2012) DOI 10.1007/s11433-012-4664-2
- Tom-Robin Teschner, László Könözsy, Karl Jenkins. Predicting Non-Linear Flow Phenomena through Different Characteristics-Based Schemes. Aerospace 5(1) (2018) DOI 10.3390/aerospace5010022
- B. Schrefler, L. Simoni, B. Markert. Multifield Problems. (2017) DOI 10.1002/9781119176817.ecm2040
- E. Oñate, J. García-Espinosa, S. Idelsohn, B. Serván-Camas. Ship Hydrodynamics. (2017) DOI 10.1002/9781119176817.ecm2070
- B. Celik, F. Oguz Edis. Micro‐scale synthetic‐jet actuator flow simulation with characteristic‐based‐split method. Aircraft Eng & Aerospace Tech 81(3) DOI 10.1108/00022660910954754
- E. Oñate, R. Taylor, O. Zienkiewicz, J. Rojek. A residual correction method based on finite calculus. Engineering Computations 20(5/6) DOI 10.1108/02644400310488790
- P. Nithiarasu. A comparative study on the performance of two time stepping schemes for convection in a fluid saturated porous medium. Int Jnl of Num Meth for HFF 11(4) DOI 10.1108/09615530110389108
- N. Massarotti, P. Nithiarasu, O. Zienkiewicz. Natural convection in porous medium‐fluid interface problems ‐ A finite element analysis by using the CBS procedure. Int Jnl of Num Meth for HFF 11(5) DOI 10.1108/09615530110397370
- C. Thomas, P. Nithiarasu. Influences of element size and variable smoothing on inviscid compressible flow solution. Int Jnl of Num Meth for HFF 15(5) DOI 10.1108/09615530510593611
- A. Arnold, P. Nithiarasu, P. Tucker. Finite element modelling of electro‐osmotic flows on unstructured meshes. Int Jnl of Num Meth for HFF 18(1) DOI 10.1108/09615530810839750
- P. Nithiarasu. A unified fractional step method for compressible and incompressible flows, heat transfer and incompressible solid mechanics. Int Jnl of Num Meth for HFF 18(2) DOI 10.1108/09615530810846284
- N. Massarotti, P. Nithiarasu, O. Zienkiewicz. Characteristic‐based‐split (CBS) algorithm for incompressible flow problems with heat transfer. Int Jnl of Num Meth for HFF 8(8) DOI 10.1108/09615539810244067
- A. NICOLLE, I. EAMES. Numerical study of flow through and around a circular array of cylinders. J. Fluid Mech. 679 (2011) DOI 10.1017/jfm.2011.77
- H. Naderan, M. Nobari. A Finite Element Analysis of Flow Around a Square Cylinder with Cross Flow Oscillations at two Angles of Attack. J. mech. 29(3) (2013) DOI 10.1017/jmech.2013.31
- A. Bardow, I. Karlin, A. Gusev. General characteristic-based algorithm for off-lattice Boltzmann simulations. Europhys. Lett. 75(3) (2007) DOI 10.1209/epl/i2006-10138-1
- P. Theeraek, S. Phongthanapanich, P. Dechaumphai. Combined adaptive meshing technique and finite volume element method for solving convection–diffusion equation. Japan J. Indust. Appl. Math. 30(1) (2012) DOI 10.1007/s13160-012-0095-8
- E. OÑATE, S. IDELSOHN, O. ZIENKIEWICZ, R. TAYLOR. A FINITE POINT METHOD IN COMPUTATIONAL MECHANICS. APPLICATIONS TO CONVECTIVE TRANSPORT AND FLUID FLOW. Int. J. Numer. Meth. Engng. 39(22) DOI 10.1002/(sici)1097-0207(19961130)39:22<3839::aid-nme27>3.0.co;2-r
- O. Zienkiewicz, J. Rojek, R. Taylor, M. Pastor. Triangles and tetrahedra in explicit dynamic codes for solids. Int. J. Numer. Meth. Engng. 43(3) DOI 10.1002/(sici)1097-0207(19981015)43:3<565::aid-nme454>3.0.co;2-9
- S. Idelsohn, E. O�ate, C. Sacco. Finite element solution of free-surface ship-wave problems. Int. J. Numer. Meth. Engng. 45(5) DOI 10.1002/(sici)1097-0207(19990620)45:5<503::aid-nme570>3.0.co;2-e
- R. Taylor. A mixed-enhanced formulation tetrahedral finite elements. Int. J. Numer. Meth. Engng. 47(1-3) DOI 10.1002/(sici)1097-0207(20000110/30)47:1/3<205::aid-nme768>3.0.co;2-j
- P. Nithiarasu, O. Zienkiewicz. Adaptive mesh generation for fluid mechanics problems. Int. J. Numer. Meth. Engng. 47(1-3) DOI 10.1002/(sici)1097-0207(20000110/30)47:1/3<629::aid-nme786>3.0.co;2-y
- O. Zienkiewicz. Achievements and some unsolved problems of the finite element method. Int. J. Numer. Meth. Engng. 47(1-3) DOI 10.1002/(sici)1097-0207(20000110/30)47:1/3<9::aid-nme793>3.0.co;2-p
Share this document
claim authorship
Are you one of the authors of this document?