6533b825fe1ef96bd1282a66

RESEARCH PRODUCT

A High-Resolution Penalization Method for large Mach number Flows in the presence of Obstacles

Olivier BoironRosa DonatGuillaume Chiavassa

subject

General Computer ScienceComputational fluid dynamics01 natural sciencesCompressible flow010305 fluids & plasmas[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]Physics::Fluid DynamicsShock Waves.symbols.namesakeIncompressible flow0103 physical sciencesPenalty methodComplex geometries[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph]0101 mathematicsBrinkman PenalizationChoked flowMathematicsbusiness.industry[SPI.FLUID]Engineering Sciences [physics]/Reactive fluid environmentGeneral EngineeringMechanics[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation010101 applied mathematicsClassical mechanicsCompressible Navier-Stokes EquationsMach numberShock WavesMesh generationCompressibilitysymbolsbusiness[MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

description

International audience; A penalization method is applied to model the interaction of large Mach number compressible flows with obstacles. A supplementary term is added to the compressible Navier-Stokes system, seeking to simulate the effect of the Brinkman-penalization technique used in incompressible flow simulations including obstacles. We present a computational study comparing numerical results obtained with this method to theoretical results and to simulations with Fluent software. Our work indicates that this technique can be very promising in applications to complex flows.

10.1016/j.compfluid.2008.07.003https://hal.science/hal-00259907