A hierarchical Cartesian method for conjugated heat transfer

Abstract

Conjugate heat transfer of solid bodies is studied using two independent finite-volume solvers linked by surface-based coupling techniques. One method solves the unsteady Navier-Stokes equations of an ideal compressible fluid and the other method solves the unsteady heat equation within the solid. A hierarchical datastructure able to store multiple hierarchical Cartesian grids in a compressed format while implicitly maintaining the inter-grid connectivity even under adaptive mesh refinement is introduced. Its suitability for the operations required during multi-physics coupling are considered. It is shown that the data-structure delivers an efficient look-up of the connectivity information between cells of a given grid and between cells of different grids by performing the domain decomposition on this data-structure instead of the computational grids. Inter-node communication during the coupling step is avoided. The feasibility of this approach is demonstrated by studying the interaction of a stationary solid cube with a hot jet as well as the interaction of two heated moving particles in tandem with a cold fluid.

Direct particle–fluid simulation of flushing flow in electrical discharge machining

“…The numerical method has previously been validated for multi-phase flows (Schneiders et al, 2016(Schneiders et al, , 2017a) and conjugate heat transfer (Brito Gadeschi et al, 2014. In the following, first, the single-phase formulation of the numerical method is validated for an internal flow problem and the accuracy of the particle-wall collision model is assessed.…”