Analysis and application of high order implicit Runge-Kutta schemes for unsteady conjugate heat transfer: a strongly-coupled approach

DOI10.1016/j.jcp.2014.04.016zbMath1349.76617OpenAlexW2080176869MaRDI QIDQ349360

V. Kazemi-Kamyab, Hester Bijl, Alexander H. van Zuijlen

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.04.016

zbMATH Keywords

computational efficiencypartitioned methodhigh order time integrationimplicit Runge-Kuttastrongly-coupledsubiteration stabilityunsteady conjugate heat transfer

Mathematics Subject Classification ID

Related Items (8)

Unified Solution of Conjugate Fluid and Solid Heat Transfer–Part I. Solid Heat Conduction ⋮ Very high-order accurate polygonal mesh finite volume scheme for conjugate heat transfer problems with curved interfaces and imperfect contacts ⋮ Results on existence for generalized \(nD\) Navier-Stokes equations ⋮ An improved hybrid lattice Boltzmann flux solver for 3D integrated hypersonic fluid-thermal-structural analysis ⋮ Effect of time integration scheme in the numerical approximation of thermally coupled problems: from first to third order ⋮ Efficient monolithic projection method for time-dependent conjugate heat transfer problems ⋮ Use of the method of manufactured solutions for the verification of conjugate heat transfer solvers ⋮ Numerical comparisons of high-order nonlinear solvers for the transient Navier-Stokes equations based on homotopy and perturbation techniques

Uses Software

• RODAS

Cites Work

• Unnamed Item
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• A time-adaptive fluid-structure interaction method for thermal coupling
• Fourth-order Runge-Kutta schemes for fluid mechanics applications
• Adaptive time step control for the incompressible Navier-Stokes equations
• Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: Laminar flow
• Fixed-point fluid-structure interaction solvers with dynamic relaxation
• A posteriori error estimation and adaptive mesh refinement for a multiscale operator decomposition approach to fluid-solid heat transfer
• A composite grid solver for conjugate heat transfer in fluid-structure systems
• Additive Runge-Kutta schemes for convection-diffusion-reaction equations
• Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes
• A high order time-accurate loosely-coupled solution algorithm for unsteady conjugate heat transfer problems
• Stability of fluid–structure thermal simulations on moving grids
• Stability analysis of numerical interface conditions in fluid-structure thermal analysis
• An interface Newton–Krylov solver for fluid–structure interaction
• Accuracy and stability analysis of a second‐order time‐accurate loosely coupled partitioned algorithm for transient conjugate heat transfer problems
• A multilevel Newton–Krylov interface solver for multiphysics couplings of flow in porous media
• Combined interface boundary condition method for coupled thermal simulations
• Numerical simulation of coupled fluid-solid problems

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