Improvements to compressible Euler methods for low-Mach number flows

2000-09-30
Sabanca, M
Brenner, G
Alemdaroglu, N
Show full item record
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
213
views
0
downloads
In the present study improvements to numerical algorithms for the solution of the compressible Euler equations at low Mach numbers are investigated. To solve flow problems for a wide range of Mach numbers, from the incompressible limit to supersonic speeds, preconditioning techniques are frequently employed. On the other hand, one can achieve the same aim by using a suitably modified acoustic damping method. The solution algorithm presently under consideration is based on Roe's approximate Riemann solver [Roe FL. Approximate Riemann solvers, parameter vectors and difference schemes. Journal of Computational Physics 1981; 43: 357-372] for non-structured meshes. The numerical flux functions are modified by using Turkel's preconditioning technique proposed by Viozat [Implicit upwind schemes for low Mach number compressible flows. INRIA, Rapport de Recherche No. 3084, January 1997] for compressible Euler equations and by using a modified acoustic damping of the stabilization term proposed in the present study. These methods allow the compressible Euler equations at low-Mach number flows to be solved, and they are consistent in time. The efficiency and accuracy of the proposed modifications have been assessed by comparison with experimental data and other numerical results in the literature. Copyright (C) 2000 John Wiley & Sons, Ltd.
Mechanical Engineering, Mechanics of Materials, Applied Mathematics, Computational Mechanics, Computer Science Applications
https://hdl.handle.net/11511/66698
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Department of Aerospace Engineering, Article

Suggestions

Effects of the Jacobian evaluation on Newton's solution of the Euler equations
Onur, O; Eyi, Sinan (Wiley, 2005-09-20)
Newton's method is developed for solving the 2-D Euler equations. The Euler equations are discretized using a finite-volume method with upwind flux splitting schemes. Both analytical and numerical methods are used for Jacobian calculations. Although the numerical method has the advantage of keeping the Jacobian consistent with the numerical residual vector and avoiding extremely complex analytical differentiations, it may have accuracy problems and need longer execution time. In order to improve the accurac...
Time-domain BEM solution of convection-diffusion-type MHD equations
Bozkaya, N.; Tezer, Münevver (Wiley, 2008-04-20)
The two-dimensional convection-diffusion-type equations are solved by using the boundary element method (BEM) based on the time-dependent fundamental solution. The emphasis is given on the solution of magnetohydrodynamic (MHD) duct flow problems with arbitrary wall conductivity. The boundary and time integrals in the BEM formulation are computed numerically assuming constant variations of the unknowns on both the boundary elements and the time intervals. Then, the solution is advanced to the steady-state it...
Two-level finite element method with a stabilizing subgrid for the incompressible Navier-Stokes equations
NESLİTÜRK, ALİ İHSAN; Aydın Bayram, Selma; Tezer, Münevver (Wiley, 2008-10-20)
We consider the Galerkin finite element method for the incompressible Navier-Stokes equations in two dimensions. The domain is discretized into a set of regular triangular elements and the finite-dimensional spaces emploved consist of piecewise continuous linear interpolants enriched with the residual-free bubble functions. To find the bubble part of the Solution, a two-level finite element method with a stabilizing subgrid of a single node is described, and its application to the Navier-Stokes equation is ...
Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement
Manguoğlu, Murat; Sameh, Ahmed H.; Tezduyar, Tayfun E. (Wiley, 2011-01-30)
Arterial fluid-structure interaction (FSI) computations involve a number of numerical challenges. Because blood flow is incompressible, iterative solution of the fluid mechanics part of the linear equation system at every nonlinear iteration of each time step is one of those challenges, especially for computations over slender domains and in the presence of boundary layer mesh refinement. In this paper we address that challenge. As test cases, we use equation systems from stabilized finite element computati...
Solution to transient Navier-Stokes equations by the coupling of differential quadrature time integration scheme with dual reciprocity boundary element method
Bozkaya, Canan; Tezer, Münevver (Wiley, 2009-01-20)
The two-dimensional time-dependent Navier-Stokes equations in terms of the vorticity and the stream function are solved numerically by using the coupling of the dual reciprocity boundary element method (DRBEM) in space with the differential quadrature method (DQM) in time. In DRBEM application, the convective and the time derivative terms in the vorticity transport equation are considered as the nonhomogeneity in the equation and are approximated by radial basis functions. The solution to the Poisson equati...
Citation Formats
M. Sabanca, G. Brenner, and N. Alemdaroglu, “Improvements to compressible Euler methods for low-Mach number flows,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, pp. 167–185, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66698.
METU IIS - Integrated Information Service open@metu.edu.tr