ABSTRACT
For the efficient computation of the flow past an obstacle in a channel, the possibility to combine the high accuracy of spectral solvers with the high flexibility of the finite element method (FE,FEM) seems desirable. The CGBI parallelization method is a tool to couple such heterogeneous solvers for elliptic problems. The channel is devided into several non-overlapping subdomains, where Chebychev collocation spectral solvers [4] are applied on rectangular subdomains and FE solvers on the subdomains containing the obstacle (Fig. 1). This article shows the application of CGBI for the computation of a Navier-Stokes flow. The time-splitting scheme decouples each Navier-Stokes timestep into a transport step and elliptic problems for the velocity and for the pressure. CGBI is used to solve the elliptic problems, and the transport equation is handled by the characteristic’s method.
