The q-least squares kinetic upwind method ( q-LSKUM) with variable step applied to internal fluid flow problems

In any fluid flow calculation, it is essential to capture the finer details of the flow field to obtain a high degree of accuracy in the flow quantities (density, velocity and pressure). It is therefore necessary to have a finer grid in the region where the solution is varying very rapidly and coars...

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Bibliographic Details
Published in:Computer methods in applied mechanics and engineering Vol. 190; no. 48; pp. 6441 - 6453
Main Authors: Dauhoo, M.Z., Jain, M.K., Suddhoo, A.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 28.09.2001
Elsevier
Subjects:
[formula omitted] variables
Boltzmann equation
Computational methods in fluid dynamics
Computational techniques
Elliptic grid generation technique
Exact sciences and technology
Finite-difference methods
Flows in ducts, channels, nozzles, and conduits
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Grid stretching
Least-squares approximations
Mathematical methods in physics
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Physics
Sciences and techniques of general use
Variable step
Elliptic grid generation technique
Least-squares approximations
Boltzmann equation
q variables
Variable step
Grid stretching
Transonic flow
Obstacle
Pipe flow
Numerical method
Adaptive method
Upwind scheme
Shock waves
Internal flow
Least square fit
Stretching
Mesh generation
Finite difference method
ISSN:0045-7825, 1879-2138
Online Access:Get full text
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Summary:In any fluid flow calculation, it is essential to capture the finer details of the flow field to obtain a high degree of accuracy in the flow quantities (density, velocity and pressure). It is therefore necessary to have a finer grid in the region where the solution is varying very rapidly and coarser grid in regions where the solution is smooth. In fact, this helps to avoid unnecessary computations to a great extent. In this paper we use the q -LSKUM in order to solve a transonic flow for a channel with a bump. We generate the grid by using the elliptic grid generation technique. The method is meant for constructing a boundary-fitted coordinate system around a body of arbitrary shape. The nodes are then clustered at the shock location using a simple method of grid stretching. The Euler equations are solved at each of the coordinates ( x, y) thus obtained using the q -LSKUM.
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ISSN:0045-7825
1879-2138
DOI:10.1016/S0045-7825(01)00230-4