Lectures on Large-Scale Finite Difference Computation of Incompressible Fluid Flows

1972 ◽  
pp. 23-70
Author(s):  
Jacob E. Fromm
Keyword(s):  
Finite Difference ◽  
Incompressible Fluid ◽  
Large Scale ◽  
Fluid Flows ◽  
Incompressible Fluid Flows

Numerical calculation of internal wave motions

1972 ◽  
Vol 56 (2) ◽  
pp. 265-276 ◽  
Author(s):  
James A. Young ◽  
C. W. Hirt
Keyword(s):  
Experimental Data ◽  
Numerical Calculation ◽  
Finite Difference ◽  
Incompressible Fluid ◽  
Internal Wave ◽  
Fluid Flows ◽  
Two Dimensional ◽  
Finite Difference Technique ◽  
Small Density ◽  
Incompressible Fluid Flows

A finite-difference technique for the numerical calculation of two-dimensional stratified incompressible fluid flows is presented. Small density variations are not assumed, so that this method is generally applicable to a wide variety of problems. To illustrate this new technique a calculation has been made of the collapse of a uniformly mixed region in a linearly stratified fluid. In addition to giving excellent agreement with experimental data, the calculations also reveal the mechanism for an observed change in scaling behaviour.

Lattice-BGK Methods for Simulating Incompressible Fluid Flows

1997 ◽  
Vol 08 (04) ◽  
pp. 793-803 ◽  
Author(s):  
Yu Chen ◽  
Hirotada Ohashi
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Poisson Equation ◽  
General Model ◽  
Incompressible Flows ◽  
Fluid Flows ◽  
Incompressible Limit ◽  
Numerical Example ◽  
Incompressible Fluid Flows

The lattice-Bhatnagar-Gross-Krook (BGK) method has been used to simulate fluid flow in the nearly incompressible limit. But for the completely incompressible flows, two special approaches should be applied to the general model, for the steady and unsteady cases, respectively. Introduced by Zou et al.,1 the method for steady incompressible flows will be described briefly in this paper. For the unsteady case, we will show, using a simple numerical example, the need to solve a Poisson equation for pressure.

Numerical Simulation of Incompressible Fluid Flows

1990 ◽  
pp. 47-66
Author(s):  
George Anagnostou ◽  
Paul F. Fischer ◽  
Yvon Maday ◽  
Einar M. Rønquist ◽  
Anthony T. Patera
Keyword(s):  
Numerical Simulation ◽  
Incompressible Fluid ◽  
Fluid Flows ◽  
Incompressible Fluid Flows
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