@book{ed41d8a482914e9995dc922d6d3ec84b,

title = "Pseudo-time stepping methods for space-time discontinuous Galerkin discretizations of the compressible Navier-Stokes equations",

abstract = "The space-time discontinuous Galerkin discretization of the compressible Navier-Stokes equations results in a non-linear system of algebraic equations, which we solve with a local pseudo-time stepping method. Explicit Runge-Kutta methods developed for the Euler equations are unsuitable for this purpose as a severe stability constraint linked to the viscous part of the equations must be satisfied in boundary layers. In this paper, we investigate two new alternatives: \begin{enumerate} \item an implicit-explicit Runge-Kutta method, where the viscous terms are treated implicitly and the inviscid terms explicitly, \item a combination of two explicit Runge-Kutta schemes, one designed for inviscid flows and the other for viscous flows. \end{enumerate} We analyze the stability of the explicit and implicit-explicit methods, discuss their (dis)advantages and compare their performance by computing the flow around the NACA0012 airfoil at low and moderate Reynolds numbers.",

keywords = "MSC-76N15, MSC-76M10, MSC-65M60, MSC-65L06, EWI-3602, IR-65966, METIS-226339",

author = "C.M. Klaij and {van der Vegt}, {Jacobus J.W.} and {van der Ven}, H.",

note = "Imported from MEMORANDA",

year = "2005",

language = "Undefined",

isbn = "0169-2690",

series = "Memoranda",

publisher = "University of Twente, Department of Applied Mathematics",

number = "1782",

}