Improved Residual Smoothing

Abstract

In this paper we will discuss how to compute steady state solutions of first order hyperbolic systems in an efficient way. The basic numerical scheme is based on the time dependent equations with centered differences in space and explicit Runge-Kutta iteration in time. To accelerate the process of computing a steady state solution we will use Implicit Residual Smoothing (1RS) and propose a new version which has far better properties. The general idea is to use difference operators on the explicit side of the IRS. We will denote this new residual smoother the Implicit Explicit Residual Smoother (IERS).