A Semi-implicit Method for Resolution of Acoustic Waves in Low Mach Number Flows

Split time‐integration for low Mach number compressible flows

“…For unsteady ows several techniques have been developed. They are based on either: dual time stepping [1,2], extension of the incompressible pressure-correction methods [3][4][5] or splitting of the Navier-Stokes equations [6]. The last is based on splitting the acoustic and other contributions to the Navier-Stokes equations using asymptotic theory.…”

Large Eddy Simulation of acoustic pulse propagation and turbulent flow interaction in expansion mufflers

“…PISO was also tested for its stability and its applicability to steady and unsteady problems [14][15]. Some semi-implicit methods have previously been implemented for the resolution of acoustic wave in low Mach number flows [16].…”

Staggered schemes for all speed flows

“…Pressure correction schemes are less popular in the context of compressible flows, even though their application to compressible Navier-Stokes equations may also be traced back to the late sixties, with the seminal work of Harlow and Amsden [25,26], who developed an iterative algorithm (the so-called ICE method) including an elliptic corrector step for the pressure. Later on, pressure correction equations appeared in numerical schemes proposed by several researchers, essentially in the finite-volume framework, using either a collocated [11,35,38,45,50,52] or a staggered arrangement [3,5,8,33,34,36,56,57,[59][60][61] of unknowns; in the first case, some corrective actions are to be foreseen to avoid the usual odd-even decoupling of the pressure in the low Mach number regime. Some of these algorithms are essentially implicit, the end-of-step solution being then obtained by SIMPLE-like iterative processes [11,35,36,38,45,52,58].…”