A Few Benchmark Test Cases for Higher-Order Euler Solvers
نویسندگان
چکیده
منابع مشابه
Higher order nite element methods and multigrid solvers in a benchmark problem for the 3D Navier–Stokes equations
This paper presents a numerical study of the 3D ow around a cylinder which was de ned as a benchmark problem for the steady state Navier–Stokes equations within the DFG high-priority research program ow simulation with high-performance computers by Sch afer and Turek (Vol. 52, Vieweg: Braunschweig, 1996). The rst part of the study is a comparison of several nite element discretizations with res...
متن کاملDiffusion regulation for Euler solvers
A diffusion regulation parameter, which operates based on the jump in the Mach number, is presented for implementation in Euler solvers. This diffusion regulation parameter adjusts itself automatically in different regimes of the flow and leads to the exact capturing of steady contact discontinuities which are aligned with the grid-lines. This diffusion regulator parameter reduces numerical dis...
متن کاملHigher Order Mori-Zwanzig Models for the Euler Equations
In a recent paper [10], an infinitely long memory model (the tmodel) for the Euler equations was presented and analyzed. The model can be derived by keeping the zeroth order term in a Taylor expansion of the memory integrand in the Mori-Zwanzig formalism. We present here a collection of models for the Euler equations which are based also on the Mori-Zwanzig formalism. The models arise from a Ta...
متن کاملA Study of Curved Boundary Representations for 2D High Order Euler Solvers
The present study discusses several approaches of representing curve boundaries with high-order Euler solvers. The aim is to minimize the solution entropy error. The traditional boundary representation based on interpolation polynomials is presented first. A new boundary representation based on the Bezier curve is then developed and analyzed. Several numerical tests are conducted to compare bot...
متن کاملStochastic Solvers for the Euler Equations
In this paper we extend our previous work, first presented in, to handle effectively non-Gaussian processes and long-time integration in unsteady simulations of compressible flows. Specifically, we apply the generalized polynomial chaos (GPC) method to solve the one-dimensional stochastic Euler equations. We present systematic verification studies against an analytical solution of the stochasti...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Numerical Mathematics: Theory, Methods and Applications
سال: 2017
ISSN: 1004-8979,2079-7338
DOI: 10.4208/nmtma.2017.0018