On the method of pseudo compressibility for numerically solving incompressible flows

Chang, J. L. C.; Kwak, Dochan

doi:10.2514/6.1984-252

Cited by 61 publications

(20 citation statements)

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“…However, to utilize this convenient feature, it is essential to understand the nature of artificial compressibility both physically and mathematically. Chang and Kwak (1984) [26] reported details of artificial compressibility, and suggested some useful guidelines for choosing the artificial compressibility parameter.…”

Section: Artificial Compressibility Methodsmentioning

confidence: 99%

Successes and Challenges of Incompressible Flow Simulation

Kwak

Kiris

2003

16th AIAA Computational Fluid Dynamics Conference

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During the past thirty years, numerical methods and simulation tools for incompressible flows have been advanced as a subset of CFD discipline. Even though incompressible flows are encountered in many areas of engineering, simulation of compressible flow has been the major driver for developing computational algorithms and tools. This is probably due to rather stringent requirements for predicting aerodynamic performance characteristics of flight vehicles, while flow devices involving low speed or incompressible flow could be reasonably well designed without resorting to accurate numerical simulations. As flow devices are required to be more sophisticated and highly efficient, CFD tools become indispensable in fluid engineering for incompressible and low speed flow. This paper is intended to review some of the successes made possible by advances in computational technologies during the same period, and discuss some of the current challenges.

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Section: Artificial Compressibility Methodsmentioning

confidence: 99%

Successes and Challenges of Incompressible Flow Simulation

Kwak

Kiris

2003

16th AIAA Computational Fluid Dynamics Conference

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“…However, to uti!ize this cnrzvelllent feature, it is essential to understand the nature of artificial compressibility both physically and mathematically. Chang and Kwak (1984) [26] reported details of artificial compressibility, and suggested some useful guidelines for choosing the artificial compressibility parameter.…”

Section: Artificial Compressibility Methodsmentioning

confidence: 99%

Computational challenges of viscous incompressible flows

2005

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Over the past thirty years, numerical methods and simulation tools for incompressible flows have been advanced as a subset of the computational fluid dynamics (CFD) discipline. Although incompressible flows are encountered in many areas of engineering, simulation of compressible flow has been the major driver for developing computational algorithms and tools. This is probably due to the rather stringent requirements for predicting aerodynamic performance characteristics of flight vehicles, while flow devices involving low-speed or incompressible flow could be reasonably well designed without resorting to accurate numerical simulations. As flow devices are required to be more sophisticated and highly erXcienf CFD took become increasingly important in fluid engineering for incompressible and low-speed flow. This paper reviews some of the successes made possible by advances in computational technologies dunng the same period, ana discusses some of &e current challenges faced in computing incompressible flows.

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“…Bruel et al [4] show that, from the analysis carried out by Chang and Kwak [27], two pseudo-Mach numbers and pseudo-sound speeds should be considered: one for the reactants and another for the products. The pseudo-Mach number for the reactants, M r , and for the products, M b , are expressed as…”

Section: Pseudo-compressibility Techniquementioning

confidence: 99%

A time‐accurate pseudo‐compressibility approach based on an unstructured hybrid finite volume technique applied to unsteady turbulent premixed flame propagation

Dourado

Bruel

Azevedo³

2004

Numerical Methods in Fluids

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SUMMARYA preconditioning approach based on the artiÿcial compressibility formulation is extended to solve the governing equations for unsteady turbulent reactive ows with heat release, at low Mach numbers, on an unstructured hybrid grid context. Premixed reactants are considered and a amelet approach for combustion modelling is adopted using a continuous quenched mean reaction rate. An overlapped cellvertex ÿnite volume method is adopted as a discretisation scheme. Artiÿcial dissipation terms for hybrid grids are explicitly added to ensure a stable, discretised set of equations. A second-order, explicit, hybrid Runge-Kutta scheme is applied for the time marching in pseudo-time. A time derivative of the dependent variable is added to recover the time accuracy of the preconditioned set of equations. This derivative is discretised by an implicit, second-order scheme. The resulting scheme is applied to the calculation of an inÿnite planar (one-dimensional) turbulent premixed ame propagating freely in reactants whose turbulence is supposed to be frozen, homogeneous and isotropic. The accuracy of the results obtained with the proposed method proves to be excellent when compared to the data available in the literature.

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On the method of pseudo compressibility for numerically solving incompressible flows

Cited by 61 publications

References 0 publications

Successes and Challenges of Incompressible Flow Simulation

Successes and Challenges of Incompressible Flow Simulation

Computational challenges of viscous incompressible flows

A time‐accurate pseudo‐compressibility approach based on an unstructured hybrid finite volume technique applied to unsteady turbulent premixed flame propagation

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