Computationally Effective Discontinuous Galerkin Scheme for Linearized Euler Equations

نویسندگان

  • Vladimir Vlasenko
  • Andrey Wolkov
  • Charles Hirsch
چکیده

*Central Aerohydrodynamic Institute (TsAGI) Zhukovsky street, 1, 140185 Zhukovsky, Moscow Region, Russian Federation, Email: [email protected] **Central Aerohydrodynamic Institute (TsAGI) Zhukovsky street, 1, 140185 Zhukovsky, Moscow Region, Russian Federation, Email: [email protected] ***NUMECA International, Avenue Franklin Roosevelt, 5, 1050 Brussels, Belgium, Email: [email protected]

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Arbitrary High Order Discontinuous Galerkin Schemes

In this paper we apply the ADER one step time discretization to the Discontinuous Galerkin framework for hyperbolic conservation laws. In the case of linear hyperbolic systems we obtain a quadrature-free explicit single-step scheme of arbitrary order of accuracy in space and time on Cartesian and triangular meshes. The ADERDG scheme does not need more memory than a first order explicit Euler ti...

متن کامل

A Composite Finite Difference Scheme for Subsonic Transonic Flows (RESEARCH NOTE).

This paper presents a simple and computationally-efficient algorithm for solving steady two-dimensional subsonic and transonic compressible flow over an airfoil. This work uses an interactive viscous-inviscid solution by incorporating the viscous effects in a thin shear-layer. Boundary-layer approximation reduces the Navier-Stokes equations to a parabolic set of coupled, non-linear partial diff...

متن کامل

Dgfem for the Numerical Solution of Compressible Flow in Time Dependent Domains and Applications to Fluid-structure Interaction

Abstract. The paper is concerned with the simulation of inviscid and viscous compressible flow in time dependent domains. The motion of the boundary of the domain occupied by the fluid is taken into account with the aid of the ALE (Arbitrary Lagrangian-Eulerian) formulation of the Euler and Navier-Stokes equations describing compressible flow. They are discretized by the discontinuous Galerkin ...

متن کامل

Error Analysis of Linearized Semi-implicit Galerkin Finite Element Methods for Nonlinear Parabolic Equations

This paper is concerned with the time-step condition of commonly-used linearized semi-implicit schemes for nonlinear parabolic PDEs with Galerkin finite element approximations. In particular, we study the time-dependent nonlinear Joule heating equations. We present optimal error estimates of the semi-implicit Euler scheme in both the L norm and the H norm without any time-step restriction. Theo...

متن کامل

Discontinuous Galerkin method for multifluid Euler equations

Based on previous work extending the Discontinuous Galerkin method to multifluid flows, we analyze the performance of our numerical scheme. First, the advection of a contact discontinuity and a multifluid version of the Sod shock-tube problem are considered. We compare the oscillations generated by the non-conservative and conservative formulations of the ratio of specific heats equations, and ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007