New pressure-based finite-volume time-marching algorithm for incompressible flow simulation

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Abstract

A novel method of computing numerical solutions to the incompressible form of the Navier-Stokes equations is presented. It is based on the pressure correction approach, but employs a regular grid finite-volume variable arrangement instead of the usual staggered grid arrangement. The pressure equation is derived such that effects which promote the well-known checkerboard instability are not present. A relevant compatibility constraint on pressure is satisfied by Neumann boundary conditions obtained using a vector identity. Implemented in a second-order-accurate finite-volume code, the algorithm is used to compute several example problems for which good results are obtained.

Original languageEnglish
Title of host publicationNumerical Developments in CFD
EditorsM.N. Dhaubhadel, K. Nakahashi, W.G. Habashi, R.K. Agarwal, K. Oshima
StatePublished - 1995
EventProceedings of the 1995 ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition - Hilton Head, SC, USA
Duration: Aug 13 1995Aug 18 1995

Publication series

NameAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FED
Volume215

Conference

ConferenceProceedings of the 1995 ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition
CityHilton Head, SC, USA
Period08/13/9508/18/95

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