Explicit calculation for the Pressure Poisson Equation to simulate incompressible fluid flows in a mesh‐free method

2021 ◽  
Author(s):  
Tibing Xu
Keyword(s):  
Incompressible Fluid ◽  
Poisson Equation ◽  
Fluid Flows ◽  
Explicit Calculation ◽  
Pressure Poisson Equation ◽  
Mesh Free ◽  
Mesh Free Method ◽  
Incompressible Fluid Flows

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.

Solving the incompressible fluid flows by a high‐order mesh‐free approach

2020 ◽  
Vol 92 (5) ◽  
pp. 422-435 ◽  
Author(s):  
Mohammed Rammane ◽  
Said Mesmoudi ◽  
Abdeljalil Tri ◽  
Bouazza Braikat ◽  
Noureddine Damil
Keyword(s):  
Incompressible Fluid ◽  
Fluid Flows ◽  
High Order ◽  
Mesh Free ◽  
Incompressible Fluid Flows

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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