A discontinuous Galerkin method for inviscid low Mach number flows

نویسندگان

  • Francesco Bassi
  • Carmine De Bartolo
  • Ralf Hartmann
  • Alessandra Nigro
چکیده

10 In this work we extend the high-order Discontinuous Galerkin (DG) Finite element 11 method to inviscid low Mach number flows. The method here presented is designed 12 to improve the accuracy and efficiency of the solution at low Mach numbers using 13 both explicit and implicit schemes for the temporal discretization of the compress14 ible Euler equations. The algorithm is based on a classical preconditioning technique 15 that in general entails modifying both the instationary term of the governing equa16 tions and the dissipative term of the numerical flux function (full preconditioning 17 approach). In the paper we show that full preconditioning is beneficial for explicit 18 time integration while the implicit scheme turns out to be efficient and accurate us19 ing just the modified numerical flux function. Thus the implicit scheme could also 20 be used for time accurate computations. The performance of the method is demon21 strated by solving an inviscid flow past a NACA0012 airfoil at different low Mach 22 numbers using various degrees of polynomial approximations. Computations with 23 and without preconditioning are performed on different grid topologies to analyze 24 the influence of the spatial discretization on the accuracy of the DG solutions at 25 low Mach numbers. 26

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

Discontinuous Galerkin Method for Compressible Viscous Reacting Flow

In the present study, a discontinuous Galerkin (DG) framework is developed to simulate chemically reacting flows. The algorithm combines a double-flux method to account for variable thermodynamic properties, a Strang-splitting scheme for the stiff reaction chemistry, a robust WENO-based shock limiter, and the non-linear viscous-diffusive transport is discretized using the BR2 method. The algori...

متن کامل

Efficient computation of all speed flows using an entropy stable shock-capturing space-time discontinuous Galerkin method

We present a shock-capturing space-time Discontinuous Galerkin method to approximate all speed flows modeled by systems of conservation laws with multiple time scales. The method provides a very general and computationally efficient framework for approximating such systems on account of its ability to incorporate large time steps. Numerical examples ranging from computing the incompressible lim...

متن کامل

A fast, p-Multigrid Discontinuous Galerkin Method for Compressible Flows at All Speeds

A p-multigrid (p=polynomial degree) discontinuous Galerkin method is presented for the solution of the compressible Euler equations on unstructured grids. The method operates on a sequence of solution approximations of different polynomial orders. A distinct feature of this p-multigrid method is the application of an explicit smoother on the higher level approximations (p > 0) and an implicit s...

متن کامل

A High Order Discontinuous Galerkin Method for 2D Incompressible Flows

In this pat)er we introduce a high order discontinuous Galerkin method for two dimensional incoinpressible flow in vorticity streamfunction fornnllation. The inonlentuni equation is treated exl)licitly, utilizing the efficiency of the discontimtous Galerkin method. The streanlflmction is obtained by a standard Poiss(m solver using (:ontinu(lus finite elenmnts. There is a natural matching betwee...

متن کامل

A preconditioned solver for sharp resolution of multiphase flows at all Mach numbers

A preconditioned five-equation two-phase model coupled with an interface sharpening technique is introduced for simulation of a wide range of multiphase flows with both high and low Mach regimes. Harten-Lax-van Leer-Contact (HLLC) Riemann solver is implemented for solving the discretized equations while tangent of hyperbola for interface capturing (THINC) interface sharpening method is applied ...

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:
  • J. Comput. Physics

دوره 228  شماره 

صفحات  -

تاریخ انتشار 2009