Unified Solution of Conjugate Fluid and Solid Heat Transfer–Part I. Solid Heat Conduction

DOI10.4208/aamm.OA-2021-0359MaRDI QIDQ5889049

Lili Ju, Shu-Jie Li

Publication date: 26 April 2023

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

zbMATH Keywords

conjugate heat transferdiscontinuous Galerkinexponential time integrationcompressible Navier-Stokessolid heat conduction

Mathematics Subject Classification ID

Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Compressible Navier-Stokes equations (76N06)

Cites Work

• Analysis and application of high order implicit Runge-Kutta schemes for unsteady conjugate heat transfer: a strongly-coupled approach
• Streamline upwind finite element method for conjugate heat transfer problems
• A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
• Exponential time differencing for stiff systems
• Use of the method of manufactured solutions for the verification of conjugate heat transfer solvers
• Stability of static conjugate heat transfer coupling approaches using Robin interface conditions
• An exponential time-integrator scheme for steady and unsteady inviscid flows
• Shock-capturing exponential multigrid methods for steady compressible flows
• Conjugate heat transfer for the unsteady compressible Navier-Stokes equations using a multi-block coupling
• Exponential integrators
• Stability analysis of numerical interface conditions in fluid-structure thermal analysis
• Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
• A Discontinuous Galerkin Finite Element Method Without Interior Penalty Terms
• A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation
• A Discontinuous Galerkin Method by Patch Reconstruction for Convection-Diffusion Problems

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