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Comparison of several solution methods for the Euler equations in a finite volume code

Manokaran, Tamil Iniyan (2018) Comparison of several solution methods for the Euler equations in a finite volume code. Other, Universität Braunschweig.

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Abstract

One of the most popular and simple methods to derive a non-linear equation to steady state is diagonal implicit Runge-Kutta method. This method leads us to get a final linear equation. Then we would like to solve that linear equation with any of the iterative solvers to get efficiently an approximate solution. These solution methods can be often used as smoother in a nonlinear multigrid algorithm. The actual solution depends on the approximation of the derivative of the nonlinear equation and on the iterative method to approximately solve the linear equation. Goal of the Studienarbeit is the implementation of a two dimensional Euler code which approximates solutions on unstructured meshes. Solving the Euler equation with the help of several solution methods such as explicit multi-stage RungeKutta schemes accelerated by local time stepping, implicit scheme based on a derivative corresponding to a discretization of compact stencil, LU-SGS scheme for the given meshes and finally we would like to compare the results. The two dimensional finite volume code, which implements the discretization of the Euler equations in two dimension is developed based on the knowledge acquired from the lecture Algorithmen zur Losung der Euler und Navier-Stokes Gleichungen.

Item URL in elib:https://elib.dlr.de/124787/
Document Type:Thesis (Other)
Title:Comparison of several solution methods for the Euler equations in a finite volume code
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Manokaran, Tamil IniyanUNSPECIFIEDUNSPECIFIED
Date:November 2018
Refereed publication:No
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:55
Status:Published
Keywords:Navier-Stoked equations, Solution methods, Newton's method
Institution:Universität Braunschweig
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flight Physics
Location: Braunschweig
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > CASE, BS
Deposited By: Langer, Dr.rer.nat. Stefan
Deposited On:13 Dec 2018 14:45
Last Modified:31 Jul 2019 20:22

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