Heat transfer analysis in particle-laden flows using the immersed boundary method

Abstract

This paper investigates an efficient immersed boundary method (IBM) for multiple-core CPU machines with local grid refinement for the calculation of heat transfer between fluids and finite-sized particles. The fluid momentum equations are solved by using the fractional step method, while the energy equation is solved by employing the second-order Adams-Bashforth method. For efficient load balancing between the CPU cores, the coupling between particles and fluid is obtained by applying the body force in the fluid equations, which depends on the solid volume fraction of particles contained in each grid cell, and then by linearly interpolating the particle temperature and velocity on the fluid grid cell (in place of the delta function commonly used in literature). Several test cases from the literature are studied, and good agreement is observed between the simulation results and the literature. Finally, a scaling study on multiple core machines is performed, demonstrating the proposed IBM's capabilities for a significant reduction in processing time.