Steepest descent optimisation of Runge-Kutta coefficients for second order implicit finite volume CFD codes

DOI10.1016/j.jcp.2017.09.008zbMath1380.76010OpenAlexW2759050110MaRDI QIDQ1700755

Cyril Misev, Nicholas J. Hills

Publication date: 22 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.09.008

zbMATH Keywords

steepest descentRunge-Kutta schememin-max problemsimplicit computational fluid dynamicsJameson-Schmidt-Turkel scheme

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Agglomeration multigrid methods with implicit Runge-Kutta smoothers applied to aerodynamic simulations on unstructured grids
• Implicit multigrid schemes for challenging aerodynamic simulations on block-structured grids
• Optimal Runge-Kutta smoothers for the \(p\)-multigrid discontinuous Galerkin solution of the 1D Euler equations
• Convergence acceleration of Runge-Kutta schemes for solving the Navier-Stokes equations
• High resolution schemes for hyperbolic conservation laws
• Preconditioned methods for solving the incompressible and low speed compressible equations
• Approximate Riemann solvers, parameter vectors, and difference schemes
• Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes
• Preconditioned multigrid methods for compressible flow calculations on stretched meshes
• Investigations of a compressible second order finite volume code towards the incompressible limit
• Rescaling of the Roe scheme in low Mach-number flow regions
• Analysis of a RK/Implicit Smoother for Multigrid
• Design of optimally smoothing multistage schemes for the euler equations
• Acceleration on stretched meshes with line-implicit LU-SGS in parallel implementation
• Local preconditioners for steady and unsteady flow applications

This page was built for publication: Steepest descent optimisation of Runge-Kutta coefficients for second order implicit finite volume CFD codes