Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition
From MaRDI portal
Publication:2295111
DOI10.1016/j.apm.2017.10.016zbMath1480.65318OpenAlexW2592095206MaRDI QIDQ2295111
Stéphane Clain, Gaspar J. Machado, Ricardo Costa, Raphaël Loubère
Publication date: 12 February 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2017.10.016
Related Items (13)
A NURBS-based discontinuous Galerkin method for conservation laws with high-order moving meshes ⋮ Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains ⋮ Very high-order accurate finite volume scheme for the steady-state incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries ⋮ Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids ⋮ Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts ⋮ High‐order accurate conjugate heat transfer solutions with a finite volume method in anisotropic meshes with application in polymer processing ⋮ Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes ⋮ Parallel kinetic schemes for conservation laws, with large time steps ⋮ Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations ⋮ Half boundary method for steady state convection-diffusion equations with different boundary conditions ⋮ A combined volume penalization/selective frequency damping approach for immersed boundary methods applied to high-order schemes ⋮ Shifted boundary polynomial corrections for compressible flows: high order on curved domains using linear meshes ⋮ Geometrically consistent aerodynamic optimization using an isogeometric discontinuous Galerkin method
Uses Software
Cites Work
- Unnamed Item
- Solving convection-diffusion problems on curved domains by extensions from subdomains
- Accuracy preserving limiter for the high-order accurate solution of the Euler equations
- High-order accurate discontinuous finite element solution of the 2D Euler equations
- A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
- Theory and practice of finite elements.
- A sixth-order finite volume method for diffusion problem with curved boundaries
- A high order HDG method for curved-interface problems via approximations from straight triangulations
- High order unfitted finite element methods on level set domains using isoparametric mappings
- A sixth-order finite volume method for multidomain convection-diffusion problem with discontinuous coefficients
- Curved, isoparametric, 'quadrilateral' elements for finite element analysis
- Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
- Interpolation theory over curved elements, with applications to finite element methods
- High-order accurate implementation of solid wall boundary conditions in curved geometries
- Extension of the spectral volume method to high-order boundary representation
- Solving Dirichlet Boundary-value Problems on Curved Domains by Extensions from Subdomains
- CutFEM: Discretizing geometry and partial differential equations
- Construction of curvilinear co-ordinate systems and applications to mesh generation
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Wall boundary conditions for inviscid compressible flows on unstructured meshes
- Curved Elements in the Finite Element Method. II
- Curved Elements in the Finite Element Method. I
This page was built for publication: Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition
