Optimal Runge-Kutta schemes for pseudo time-stepping with high-order unstructured methods

DOI10.1016/j.jcp.2019.01.003zbMath1451.65112OpenAlexW2911774660WikidataQ128473227 ScholiaQ128473227MaRDI QIDQ2214622

Niki A. Loppi, P. E. Vincent, Brian C. Vermeire

Publication date: 10 December 2020

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2019.01.003

zbMATH Keywords

Runge-Kutta methodoptimalartificial compressibilityflux reconstructionhigh-orderpseudo time-stepping

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Direct numerical and large eddy simulation of turbulence (76F65) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (14)

An implicit HDG method for linear convection-diffusion with dual time stepping ⋮ Non-modal analysis of linear multigrid schemes for the high-order flux reconstruction method ⋮ A novel Godunov-type scheme for free-surface flows with artificial compressibility ⋮ Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics ⋮ Third-order paired explicit Runge-Kutta schemes for stiff systems of equations ⋮ Optimal explicit Runge-Kutta time stepping for density-based finite-volume solvers ⋮ Discontinuous Galerkin and related methods for ODE ⋮ Optimal embedded pair Runge-Kutta schemes for pseudo-time stepping ⋮ Embedded paired explicit Runge-Kutta schemes ⋮ Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations ⋮ \texttt{HORSES3D}: a high-order discontinuous Galerkin solver for flow simulations and multi-physics applications ⋮ Locally adaptive pseudo-time stepping for high-order flux reconstruction ⋮ Optimal Runge-Kutta stability polynomials for multidimensional high-order methods ⋮ Prediction on steady-oscillatory transition via Hopf bifurcation in a three-dimensional (3D) lid-driven cube

Uses Software

• RODAS
• CVX
• PyFR

Cites Work

• Unnamed Item
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