An improved global-direction stencil based on the face-area-weighted centroid for the gradient reconstruction of unstructured finite volume methods

[1]  C. Ollivier-Gooch,et al.  A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation , 2002 .

[2]  Wei Shyy,et al.  a Study of Recirculating Flow Computation Using Body-Fitted Coordinates: Consistency Aspects and Mesh Skewness , 1986 .

[3]  Christopher J. Roy,et al.  Comprehensive code verification techniques for finite volume CFD codes , 2012 .

[4]  Min Xiong,et al.  A novel stencil selection method for the gradient reconstruction on unstructured grid based on OpenFOAM , 2018 .

[5]  A. Jameson,et al.  Finite volume solution of the two-dimensional Euler equations on a regular triangular mesh , 1985 .

[6]  Fabian Denner,et al.  TVD differencing on three-dimensional unstructured meshes with monotonicity-preserving correction of mesh skewness , 2015, J. Comput. Phys..

[7]  Timothy J. Barth,et al.  Recent developments in high order K-exact reconstruction on unstructured meshes , 1993 .

[8]  G. A. Gerolymos,et al.  Very-high-order weno schemes , 2009, J. Comput. Phys..

[9]  Guangxue Wang,et al.  A comparative study of boundary conditions for the density-based solvers in the framework of OpenFOAM , 2018, Computers & Fluids.

[10]  Hiroaki Nishikawa,et al.  A face-area-weighted 'centroid' formula for finite-volume method that improves skewness and convergence on triangular grids , 2020, J. Comput. Phys..

[11]  D. Mavriplis UNSTRUCTURED GRID TECHNIQUES , 1997 .

[12]  Aaron Katz,et al.  Mesh quality effects on the accuracy of CFD solutions on unstructured meshes , 2011, J. Comput. Phys..

[13]  Frédéric Alauzet,et al.  Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations , 2010, J. Comput. Phys..

[14]  Russell M. Cummings,et al.  Grid Quality and Resolution Effects on the Aerodynamic Modeling of Parachute Canopies , 2015 .

[15]  Adrien Loseille,et al.  Unstructured Grid Adaptation and Solver Technology for Turbulent Flows , 2018 .

[16]  D. Mavriplis Multigrid solution of the two-dimensional Euler equations on unstructured triangular meshes , 1987 .

[17]  Carl Ollivier-Gooch,et al.  Higher-order unstructured finite volume RANS solution of turbulent compressible flows , 2017 .

[18]  Christopher J. Roy,et al.  Review of code and solution verification procedures for computational simulation , 2005 .

[19]  Timothy J. Barth,et al.  The design and application of upwind schemes on unstructured meshes , 1989 .

[20]  Carl Ollivier-Gooch,et al.  Mesh optimization to improve the stability of finite-volume methods on unstructured meshes , 2017 .

[21]  Lilia Krivodonova,et al.  High-order accurate implementation of solid wall boundary conditions in curved geometries , 2006 .

[22]  John F. Dannenhoffer Correlation of grid quality metrics and solution accuracy for supersonic flows , 2012 .

[23]  Carl Ollivier-Gooch,et al.  Improving finite-volume diffusive fluxes through better reconstruction , 2016 .

[24]  Sophia Fotia,et al.  A priori mesh quality metrics for three-dimensional hybrid grids , 2015, J. Comput. Phys..

[25]  P. Roache Code Verification by the Method of Manufactured Solutions , 2002 .

[26]  Boris Diskin,et al.  Comparison of Node-Centered and Cell-Centered Unstructured Finite-Volume Discretizations: Inviscid Fluxes , 2011 .

[27]  P. Roe CHARACTERISTIC-BASED SCHEMES FOR THE EULER EQUATIONS , 1986 .

[28]  C. Kiris,et al.  Gradient Calculation Methods on Arbitrary Polyhedral Unstructured Meshes for Cell-Centered CFD Solvers , 2014 .

[29]  V. Venkatakrishnan,et al.  A PERSPECTIVE ON UNSTRUCTURED GRID FLOW SOLVERS , 1995 .