A Novel Approach for Temporal Simulations with Very High-order Finite Volume Schemes on Polyhedral Unstructured Grids

Journal of Computational Physics ◽

10.1016/j.jcp.2022.110960 ◽

2022 ◽

pp. 110960

Author(s):

Pedro M.P. Costa ◽

Duarte M.S. Albuquerque

Keyword(s):

Finite Volume ◽

Unstructured Grids ◽

High Order ◽

Finite Volume Schemes ◽

Novel Approach ◽

Very High

Download Full-text

High order sub-cell finite volume schemes for solving hyperbolic conservation laws II: Extension to two-dimensional systems on unstructured grids

Journal of Computational Physics ◽

10.1016/j.jcp.2017.02.052 ◽

2017 ◽

Vol 338 ◽

pp. 165-198 ◽

Cited By ~ 2

Author(s):

Jianhua Pan ◽

Yu-xin Ren ◽

Yutao Sun

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Unstructured Grids ◽

High Order ◽

Two Dimensional ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

Download Full-text

A very high-order finite volume method based on weighted least squares for elliptic operators on polyhedral unstructured grids

Computers & Fluids ◽

10.1016/j.compfluid.2019.02.004 ◽

2019 ◽

Vol 181 ◽

pp. 383-402 ◽

Cited By ~ 2

Author(s):

Artur G.R. Vasconcelos ◽

Duarte M.S. Albuquerque ◽

José C.F. Pereira

Keyword(s):

Least Squares ◽

Finite Volume Method ◽

Finite Volume ◽

Unstructured Grids ◽

Weighted Least Squares ◽

Elliptic Operators ◽

High Order ◽

Volume Method ◽

Very High

Download Full-text

High-order finite volume schemes on unstructured grids using moving least-squares reconstruction. Application to shallow water dynamics

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1442 ◽

2005 ◽

Vol 65 (3) ◽

pp. 295-331 ◽

Cited By ~ 37

Author(s):

L. Cueto-Felgueroso ◽

I. Colominas ◽

J. Fe ◽

F. Navarrina ◽

M. Casteleiro

Keyword(s):

Least Squares ◽

Shallow Water ◽

Finite Volume ◽

Unstructured Grids ◽

High Order ◽

Water Dynamics ◽

Moving Least Squares ◽

Finite Volume Schemes ◽

Shallow Water Dynamics

Download Full-text

High Order Finite Volume Schemes for Solving the Non-Conservative Convection Equations on the Unstructured Grids

Journal of Scientific Computing ◽

10.1007/s10915-021-01538-4 ◽

2021 ◽

Vol 88 (2) ◽

Author(s):

Qian-Min Huang ◽

Yu-Xin Ren ◽

Qian Wang

Keyword(s):

Finite Volume ◽

Unstructured Grids ◽

High Order ◽

Finite Volume Schemes

Download Full-text

The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids II: Extension to high order finite volume schemes

Journal of Computational Physics ◽

10.1016/j.jcp.2012.01.029 ◽

2012 ◽

Vol 231 (11) ◽

pp. 4053-4077 ◽

Cited By ~ 27

Author(s):

Wanai Li ◽

Yu-Xin Ren

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Conservation Laws ◽

Unstructured Grids ◽

High Order ◽

Finite Volume Schemes ◽

Hyperbolic Conservation

Download Full-text

Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

Journal of Computational Physics ◽

10.1016/j.jcp.2007.12.005 ◽

2008 ◽

Vol 227 (8) ◽

pp. 3971-4001 ◽

Cited By ~ 171

Author(s):

Michael Dumbser ◽

Cedric Enaux ◽

Eleuterio F. Toro

Keyword(s):

Finite Volume ◽

High Order ◽

Balance Laws ◽

Finite Volume Schemes ◽

Order Of Accuracy ◽

Hyperbolic Balance Laws ◽

High Order Of Accuracy ◽

Very High

Download Full-text

An implicit high-order k-exact finite-volume approach on vertex-centered unstructured grids for incompressible flows

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110629 ◽

2021 ◽

pp. 110629

Author(s):

Florian Setzwein ◽

Peter Ess ◽

Peter Gerlinger

Keyword(s):

Finite Volume ◽

Incompressible Flows ◽

Unstructured Grids ◽

High Order ◽

Finite Volume Approach

Download Full-text

Very high order finite volume methods for cardiac electrophysiology

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.05.012 ◽

2017 ◽

Vol 74 (4) ◽

pp. 684-700 ◽

Cited By ~ 4

Author(s):

Yves Coudière ◽

Rodolphe Turpault

Keyword(s):

Finite Volume ◽

Cardiac Electrophysiology ◽

Finite Volume Methods ◽

High Order ◽

Very High

Download Full-text

Cell-centered high-order hyperbolic finite volume method for diffusion equation on unstructured grids

Journal of Computational Physics ◽

10.1016/j.jcp.2017.10.051 ◽

2018 ◽

Vol 355 ◽

pp. 464-491 ◽

Cited By ~ 12

Author(s):

Euntaek Lee ◽

Hyung Taek Ahn ◽

Hong Luo

Keyword(s):

Diffusion Equation ◽

Finite Volume Method ◽

Finite Volume ◽

Unstructured Grids ◽

High Order ◽

Volume Method

Download Full-text

Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.07.029 ◽

2019 ◽

Vol 357 ◽

pp. 112560

Author(s):

Ricardo Costa ◽

João M. Nóbrega ◽

Stéphane Clain ◽

Gaspar J. Machado

Keyword(s):

Heat Transfer ◽

Finite Volume ◽

Conjugate Heat Transfer ◽

High Order ◽

Finite Volume Scheme ◽

Polygonal Mesh ◽

Volume Scheme ◽

Transfer Problems ◽

Very High

Download Full-text