Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains

DOI10.1016/j.jcp.2021.110604OpenAlexW3190607835MaRDI QIDQ2133039

Ricardo Costa, Stéphane Clain, Gaspar J. Machado, João M. Nóbrega

Publication date: 29 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110604

zbMATH Keywords

conjugate heat transferarbitrary curved three-dimensional domainsexplicit matrix formulationpolyhedral unstructured meshespolynomial reconstruction methodvery high-order accurate finite volume scheme

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (4)

Very high-order accurate finite volume scheme for the steady-state incompressible Navier-Stokes equations with polygonal meshes on arbitrary curved boundaries ⋮ Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes ⋮ Multi-fidelity physics constrained neural networks for dynamical systems ⋮ Very high-order finite difference method on arbitrary geometries with Cartesian grids for non-linear convection diffusion reaction equations

Uses Software

• Gmsh

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Use of the method of manufactured solutions for the verification of conjugate heat transfer solvers
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• High order accurate direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes on moving curvilinear unstructured meshes
• An isoparametric approach to high-order curvilinear boundary-layer meshing
• A high-order-accurate unstructured mesh finite-volume scheme for the advection-diffusion equation
• 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
• A sixth-order finite volume method for diffusion problem with curved boundaries
• Very high-order accurate finite volume scheme on curved boundaries for the two-dimensional steady-state convection-diffusion equation with Dirichlet condition
• High order unfitted finite element methods on level set domains using isoparametric mappings
• On Source Terms and Boundary Conditions Using Arbitrary High Order Discontinuous Galerkin Schemes
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Verification of Euler/Navier–Stokes codes using the method of manufactured solutions
• Analysis of a high-order unfitted finite element method for elliptic interface problems
• High‐order CFD methods: current status and perspective

This page was built for publication: Efficient very high-order accurate polyhedral mesh finite volume scheme for 3D conjugate heat transfer problems in curved domains