Development of a Three Dimensional Euler Solver Using the Finite Volume Method on a Multiblock Structured Grid

Abstract

The ongoing efforts to develop an in-house Euler solver on a multi-block structured grid using the finite volume method are briefly presented in this paper. The flux through the control volume’s surface is computed using Roe’s scheme and extended to second order using the MUSCL approach. The steady state solution is determined using a time-marching approach with a modified Runge–Kutta scheme in the core. The acceleration of convergence to a steady solution is realized using a preconditioned multigrid method, a highly efficient method making explicit schemes such as the Runge–Kutta scheme competitive compared to implicit schemes. The numerical results clearly demonstrate the capability of the developed Euler solver to handle complex configurations and the superior efficiency of the preconditioned multigrid method.