An implicit interpolation scheme for simulation of 3‐d flow with non‐conforming meshes

Abstract

AbstractNon‐conforming meshes, as a common strategy for three‐dimensional (3‐d) flow simulation, necessitate an appropriate interpolation scheme to ensure numerical coherence between subdomains. This paper extends an implicit interpolation scheme in previous research to 3‐d space. The new interpolation scheme accommodates the higher demands for simplicity and efficiency required for the simulation of 3‐d models. The node‐to‐node coupling of non‐conforming subdomains is embedded directly in algebraic equations with a Dirichlet condition for the continuity of unknowns and a Neumann condition for the system matrix and the right‐hand side. The proposed method demonstrates general applicability, simplicity and efficiency. Four different flow problems, including 3‐d lid‐driven cavity flow, flow past a 3‐d circular cylinder, a stationary sphere and a triangular prism, are simulated with the present interpolation scheme. The numerical results exhibit good quantitative and qualitative consistency with previously published data.