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

Wall, Clifton; Pierce, Charles D.; Moin, Parviz

doi:10.1006/jcph.2002.7141

Cited by 102 publications

(100 citation statements)

References 24 publications

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“…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.…”

Section: Introductioncontrasting

confidence: 41%

Split time‐integration for low Mach number compressible flows

Lange

2004

Commun. Numer. Meth. Engng.

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SUMMARYIn low-Mach number ows the time-integration is usually bounded by the stability of the acoustic uxes. This poses a restriction to the maximum timestep. Integration of all uxes on this time-scale, leads to huge cpu times. To decrease this problem a timestep splitting technique has been developed by which the acoustic, convective and di usive uxes are treated separately. The integration of each of the uxes is bounded by their separate stability criteria. As an example, the time-integration technique will be applied to a temporally developing mixing layer. The results show that the proposed splitted integration technique, applied at a Mach number of 0.2, reduces the cpu time by about a factor three. Furthermore, it will be shown that the technique may also be applied at low (0.05) Mach number ows. Here, the cpu-reduction reaches its maximum of about a factor of four.

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Section: Introductioncontrasting

confidence: 41%

Split time‐integration for low Mach number compressible flows

Lange

2004

Commun. Numer. Meth. Engng.

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“…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].…”

Section: Introductionsupporting

confidence: 40%

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

Singh

Rubini

2015

Applied Acoustics

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“…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].…”

Section: Introductionmentioning

confidence: 40%

Staggered schemes for all speed flows

2012

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Abstract. We review in this paper a class of schemes for the numerical simulation of compressible flows. In order to ensure the stability of the discretizations in a wide range of Mach numbers and introduce sufficient decoupling for the numerical resolution, we choose to implement and study pressure correction schemes on staggered meshes. The implicit version of the schemes is also considered for the theoretical study. We give both algorithms for the barotropic Navier-Stokes equations, for the full Navier-Stokes equations and for the Euler equations. In each case, we summarize the theoretical results that were recently obtained concerning the stability and consistency of the schemes and present some numerical results which confirm their good performance.

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

Cited by 102 publications

References 24 publications

Split time‐integration for low Mach number compressible flows

Split time‐integration for low Mach number compressible flows

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

Staggered schemes for all speed flows

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