Seamless Immersed Boundary Method for Flow Simulation with Heat Transfer on Dual-Resolution Grid

Abstract

In this study, we suggested a simulation approach for the flow with heat transfer that combines the dual-resolution grid method and the seamless immersed boundary method (SIBM). When applying SIBM to the flow simulation with heat transfer, a finer grid is used than in the flow simulation without heat transfer since the energy equation requires a higher grid resolution than the Navier- Stokes equation. Particularly, solving the pressure equation at the grid resolution required by the energy equation results in a considerable loss of computing efficiency because the majority of the computational time is often used to solve the pressure equation in the incompressible flow. The Navier-Stokes equations and the energy equations are solved at different speeds in the current method.