Homogenized Flux-Body Force Treatment of Compressible Viscous Porous Wall Boundary Conditions

A homogenization approach is proposed for the treatment of porous wall boundary conditions in computation compressible viscous flows. Like any other approach, it eliminates need pore-resolved fluid meshes, and therefore enables practical flow simulations computational domains with boundaries. Unlike alternative approaches, however, does not require prescribing a mass rate introduce model heuristic discharge coefficient. Instead, models inviscid flux through surrounded by as weighted average at an impermeable surface that pores. It also introduces body force term governing equations to account friction loss along pore The source depends on thickness concept equivalent single pore. feasibility latter demonstrated using low-speed permeability test data fabric Mars Science Laboratory parachute canopy. overall illustrated series supersonic computations same verified numerical simulations.