A critical analysis of some popular methods for the discretisation of the gradient operator in finite volume methods
暂无分享,去创建一个
Alexandros Syrakos | Stylianos Varchanis | Yannis Dimakopoulos | John Tsamopoulos | A. Goulas | J. Tsamopoulos | Y. Dimakopoulos | A. Syrakos | S. Varchanis | Apostolos Goulas
[1] Monica Oliveira,et al. The Finite Volume Method in Computational Rheology , 2012 .
[2] Jian Wu,et al. Similarity and Comparison of Three Finite-Volume Methods for Diffusive Fluxes Computation on Nonorthogonal Meshes , 2013 .
[3] Avram Sidi,et al. Review of two vector extrapolation methods of polynomial type with applications to large-scale problems , 2012, J. Comput. Sci..
[4] Dimitri J. Mavriplis,et al. Revisiting the Least-squares Procedure for Gradient Reconstruction on Unstructured Meshes , 2003 .
[5] C. Ollivier-Gooch,et al. A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation , 2002 .
[6] Boris Diskin,et al. Comparison of Node-Centered and Cell-Centered Unstructured Finite-Volume Discretizations: Inviscid Fluxes , 2011 .
[7] D. K. Walters,et al. Validation of OpenFOAM numerical methods and turbulence models for incompressible bluff body flows , 2015 .
[8] Robert Schneiders,et al. Quadrilateral and Hexahedral Element Meshes , 2002 .
[9] Carl Ollivier-Gooch,et al. Accuracy analysis of unstructured finite volume discretization schemes for diffusive fluxes , 2014 .
[10] Joachim Sch. NETGEN An advancing front 2D/3D-mesh generator based on abstract rules , 1997 .
[11] S. A. Mohsen Karimian,et al. Discretization and parallel performance of an unstructured finite volume Navier–Stokes solver , 2006 .
[12] I. Demirdžić. On the Discretization of the Diffusion Term in Finite-Volume Continuum Mechanics , 2015 .
[13] John G. Bartzis,et al. Numerical experiments on the efficiency of local grid refinement based on truncation error estimates , 2012, J. Comput. Phys..
[14] S. Muzaferija,et al. Adaptive finite volume method for flow prediction using unstructured meshes and multigrid approach , 1994 .
[15] C. Kiris,et al. Gradient Calculation Methods on Arbitrary Polyhedral Unstructured Meshes for Cell-Centered CFD Solvers , 2014 .
[16] Christophe Geuzaine,et al. Gmsh: A 3‐D finite element mesh generator with built‐in pre‐ and post‐processing facilities , 2009 .
[17] Qian Wang,et al. Compact high order finite volume method on unstructured grids III: Variational reconstruction , 2017, J. Comput. Phys..
[18] Timothy J. Barth,et al. The design and application of upwind schemes on unstructured meshes , 1989 .
[19] J. Tsamopoulos,et al. Transient flow of gravity-driven viscous films over substrates with rectangular topographical features , 2016 .
[20] Yannis Kallinderis,et al. A priori mesh quality estimation via direct relation between truncation error and mesh distortion , 2009, J. Comput. Phys..
[21] Alexandros Syrakos,et al. Estimate of the truncation error of a finite volume discretisation of the Navier-Stokes equations on colocated grids , 2015, ArXiv.
[22] S. Muzaferija,et al. Finite-Volume CFD Procedure and Adaptive Error Control Strategy for Grids of Arbitrary Topology , 1997 .
[23] Volker Seidl,et al. AN IMPLICIT FINITE-VOLUME METHOD USING NONMATCHING BLOCKS OF STRUCTURED GRID , 1997 .
[24] Boris Diskin,et al. Notes on accuracy of finite-volume discretization schemes on irregular grids , 2010 .
[25] T. Barth. A 3-D upwind Euler solver for unstructured meshes , 1991 .
[26] J. Tsamopoulos,et al. A quasi-elliptic transformation for moving boundary problems with large anisotropic deformations , 2003 .
[27] C. Ollivier-Gooch,et al. An efficient implicit unstructured finite volume solver for generalised Newtonian fluids , 2016 .
[28] F. Bramkamp,et al. An adaptive multiscale finite volume solver for unsteady and steady state flow computations , 2004 .
[29] Eiji Shima,et al. New Gradient Calculation Method for MUSCL Type CFD Schemes in Arbitrary Polyhedra , 2010 .
[30] Hiroaki Nishikawa,et al. Effects of high-frequency damping on iterative convergence of implicit viscous solver , 2017, J. Comput. Phys..
[31] Joel H. Ferziger,et al. Computational methods for fluid dynamics , 1996 .
[32] Anthony G. Straatman,et al. An accurate gradient and Hessian reconstruction method for cell‐centered finite volume discretizations on general unstructured grids , 2009 .
[33] Yannis Dimakopoulos,et al. On the elliptic mesh generation in domains containing multiple inclusions and undergoing large deformations , 2009, J. Comput. Phys..
[34] Georgios C. Georgiou,et al. Solution of the square lid-driven cavity flow of a Bingham plastic using the finite volume method , 2013, ArXiv.
[35] Weiwei Zhang,et al. Accuracy preserving limiter for the high-order finite volume method on unstructured grids , 2017 .
[36] Joe F. Thompson,et al. Numerical grid generation: Foundations and applications , 1985 .
[37] James L. Thomas,et al. Accuracy of Gradient Reconstruction on Grids with High Aspect Ratio , 2013 .
[38] J. Tsamopoulos,et al. Transient flow of gravity-driven viscous films over 3D patterned substrates: conditions leading to Wenzel, Cassie and intermediate states , 2017 .
[39] Kwan-Liu Ma,et al. A Comparison of Gradient Estimation Methods for Volume Rendering on Unstructured Meshes , 2011, IEEE Transactions on Visualization and Computer Graphics.
[40] Didier Vigneron,et al. An implicit high order finite volume scheme for the solution of 3D Navier-Stokes equations with new discretization of diffusive terms , 2008 .
[41] Hiroaki Nishikawa. Robust and accurate viscous discretization via upwind scheme – I: Basic principle , 2011 .
[42] Yves Marcel Ahipo,et al. A robust and efficient finite volume scheme for the discretization of diffusive flux on extremely skewed meshes in complex geometries , 2009, J. Comput. Phys..
[43] Audra E. Kosh,et al. Linear Algebra and its Applications , 1992 .
[44] F. Pinho,et al. Numerical simulation of non-linear elastic flows with a general collocated finite-volume method , 1998 .
[45] Hrvoje Jasak,et al. Error analysis and estimation for the finite volume method with applications to fluid flows , 1996 .