scholarly journals Parallel Three-Dimensional LAD Model on Cartesian Grids of nested structure

2016 ◽  
pp. 1-32
Author(s):  
Igor Stanislavovich Men'shov ◽  
Viacheslav Sergeevich Nikitin ◽  
Victor Victorovich Sheverdin
Keyword(s):  
Three Dimensional ◽  
Cartesian Grids ◽  
Nested Structure

GHOST-CELL METHOD FOR INVISCID THREE-DIMENSIONAL FLOWS WITH MOVING BODY ON CARTESIAN GRIDS

2009 ◽  
Vol 23 (03) ◽  
pp. 277-280
Author(s):  
JIANMING LIU ◽  
NING ZHAO ◽  
OU HU
Keyword(s):  
Three Dimensional ◽  
Small Cell ◽  
Special Treatment ◽  
Ghost Cell ◽  
Cartesian Grids ◽  
Cell Problem ◽  
Cell Method ◽  
Moving Body ◽  
Ghost Cell Method ◽  
Moving Bodies

This paper depicts a ghost cell method to solve the three dimensional compressible time-dependent Euler equations using Cartesian grids for static or moving bodies. In this method, there is no need for special treatment corresponding to cut cells, which complicate other Cartesian mesh methods, and the method avoids the small cell problem. As an application, we present some numerical results for a special moving body using this method, which demonstrates the efficiency of the proposed method.

High-Order Methods for Three-Dimensional Strand-Cartesian Grids

2015 ◽  
Author(s):  
Oisin Tong ◽  
Aaron J. Katz ◽  
Andrew M. Wissink ◽  
Jayanarayanan Sitaraman
Keyword(s):  
Three Dimensional ◽  
High Order ◽  
Cartesian Grids ◽  
High Order Methods

A Lattice Boltzmann and Immersed Boundary Scheme for Model Blood Flow in Constricted Pipes: Part 1 - Steady Flow

2013 ◽  
Vol 14 (1) ◽  
pp. 126-152 ◽  
Author(s):  
S. C. Fu ◽  
W. W. F. Leung ◽  
R. M. C. So
Keyword(s):  
Blood Flow ◽  
Newtonian Fluid ◽  
Lattice Boltzmann ◽  
Numerical Scheme ◽  
Flow Behavior ◽  
Three Dimensional ◽  
Complex Problem ◽  
Immersed Boundary ◽  
Cartesian Grids ◽  
Boltzmann Method

AbstractHemodynamics is a complex problem with several distinct characteristics; fluid is non-Newtonian, flow is pulsatile in nature, flow is three-dimensional due to cholesterol/plague built up, and blood vessel wall is elastic. In order to simulate this type of flows accurately, any proposed numerical scheme has to be able to replicate these characteristics correctly, efficiently, as well as individually and collectively. Since the equations of the finite difference lattice Boltzmann method (FDLBM) are hyperbolic, and can be solved using Cartesian grids locally, explicitly and efficiently on parallel computers, a program of study to develop a viable FDLBM numerical scheme that can mimic these characteristics individually in any model blood flow problem was initiated. The present objective is to first develop a steady FDLBM with an immersed boundary (IB) method to model blood flow in stenoic artery over a range of Reynolds numbers. The resulting equations in the FDLBM/IB numerical scheme can still be solved using Cartesian grids; thus, changing complex artery geometry can be treated without resorting to grid generation. The FDLBM/IB numerical scheme is validated against known data and is then used to study Newtonian and non-Newtonian fluid flow through constricted tubes. The investigation aims to gain insight into the constricted flow behavior and the non-Newtonian fluid effect on this behavior.

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