X.S. Trompoukis, V.G. Asouti, I.C. Kampolis, and K.C. Giannakoglou. CUDA implementa- tion of Vertex-Centered, Finite Volume CFD methods on Unstructured Grids with Flow Con- trol Applications, chapter 17. Morgan Kaufmann, 2011.
d matrixes are smaller, but they have much more non-zero position. Another very interesting comment is that the cell-centered scheme is the only of then that is the "real" mass and energy balance at the cell boundary, wich is completly coerent with the traditional finite volume method....
The discontinuous Galerkin (DG) method has emerged as a promising high- accuracy alternative. The standardDG method reducesto a cell-centeredFV method at lowest order. However, many of today's CFD codes use a vertex-centered FV method in which the data structures are edge based. We develop ...
We find the model cannot be numerically solved with Galerkin-based finite element methods and cell-centered finite volume methods. Instead, the vertex-based finite volume method is used to correctly reproduce the Liesegang pattern on structureless meshes. The numerical solution is then compared with ...
A number of r-ratio formulations for TVD schemes have been presented over the last few decades to solve the transport equation in shallow waters based on the finite volume method (FVM). However, unlike structured meshes, the coordinate directions are not clearly defined on an unstructured mesh;...
A nonlinear finite volume element method preserving the discrete maximum principle for heterogeneous anisotropic diffusion equations 2024, Journal of Computational and Applied Mathematics Citation Excerpt : To our knowledge, the construction of maximum-principle-preserving nonlinear cell-centered FVMs on distor...
We prove optimal convergence rates for the discretization of a general second-order linear elliptic partial differential equation with an adaptive vertex-centered finite volume scheme. While our prior work Erath & Praetorius (2016, Adaptive vertex-centered finite volume methods with convergence rates. ...
A finite volume method with a six-equation multi-fluid single-pressure model is implemented in a three-dimensional vertex centered code, FEFLO. The six-equation was developed from the stratified flow model. A least-squares reconstruction with Kuzmins vertex-based (VB) limiter is implemented for ...
Long ChenMing Wang应用数学与力学进展(英文)L. Chen and M. Wang. Cell conservative flux recovery and a posteriori error estimate of vertex-centered finite volume methods. Adv. Appl. Math. Mech. 2013; 5(5):705-727.
Zou. Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems. Numer. Math., 130(2):363-393, 2015. Hengguang Li, Department of Mathematics, Wayne State University, Detroit, MI 48202, USA E-mail address: hli@math.wayne.edu Qinghui Zhang...