A very high-order finite volume method for the time-dependent convection-diffusion problem with Butcher tableau extension
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Publication:2363835
DOI10.1016/j.camwa.2014.09.001zbMath1367.65123OpenAlexW2156779569MaRDI QIDQ2363835
Gaspar J. Machado, Stéphane Clain
Publication date: 26 July 2017
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2014.09.001
Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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A novel approach for temporal simulations with very high-order finite volume schemes on polyhedral unstructured grids ⋮ Direct arbitrary-Lagrangian-Eulerian ADER-MOOD finite volume schemes for multidimensional hyperbolic conservation laws ⋮ Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations ⋮ Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts ⋮ Very high order finite volume methods for cardiac electrophysiology ⋮ A very high-order finite volume method based on weighted least squares for elliptic operators on polyhedral unstructured grids ⋮ A very high-order accurate staggered finite volume scheme for the stationary incompressible Navier-Stokes and Euler equations on unstructured meshes
Uses Software
Cites Work
- ADER-WENO finite volume schemes with space-time adaptive mesh refinement
- Vertex-centroid finite volume scheme on tetrahedral grids for conservation laws
- A high-order finite volume method for systems of conservation laws-multi-dimensional optimal order detection (MOOD)
- ADER schemes for nonlinear systems of stiff advection-diffusion-reaction equations
- A unified treatment of boundary conditions in least-square based finite-volume methods
- ADER finite volume schemes for nonlinear reaction-diffusion equations
- A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
- A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients
- Multi-dimensional Optimal Order Detection (MOOD) — a Very High-Order Finite Volume Scheme for Conservation Laws on Unstructured Meshes
- Numerical Methods for Ordinary Differential Equations
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