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DEVELOPMENT OF A HIGHER-ORDER ACCURATE RECONSTRUCTION SCHEME WITH REDUCED LEAST SQUARE MATRIX FOR CONVECTIVE AND DIFFUSIVE FLUX EVALUATION

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Title DEVELOPMENT OF A HIGHER-ORDER ACCURATE RECONSTRUCTION SCHEME WITH REDUCED LEAST SQUARE MATRIX FOR CONVECTIVE AND DIFFUSIVE FLUX EVALUATION
 
Creator NAIR, P
JAYACHANDRAN, T
PURANIK, BC
BHANDARKAR, VU
 
Subject hypersonic flows
computations
sequel
ausm
reduced least square matrix
unstructured meshes
higher-order reconstruction
solution mapped
high altitude test facility
high-speed flows
 
Description The development of a higher-order reconstruction scheme with reduced least square matrix is presented. The matrix used in conventional least square based reconstruction schemes for finite volume solvers contains bigger terms. For solution dependent schemes, this matrix has to be inverted for each time step, which is computationally costlier. To overcome this, certain mathematical principles applicable to finite volume formulation, have been used to eliminate a good number of terms appearing in the matrix. In addition, accurate and computationally efficient derivative plug-ins are incorporated to make the formulation generalized so that one can extend it to any order of accuracy. The presence of higher derivative terms in this scheme ensures uniformly higher-order accuracy throughout the flow domain. The reduced matrix can be used for data independent as well as solution dependent reconstruction schemes. Computationally efficient stencil searching algorithm, satisfying physical and topological requirements and capable of handling structured, unstructured, and adaptive grids has been coupled with the scheme. The scheme has been successfully used to simulate flow over blunt cone-flare, NASA B2 nozzle, and high altitude test facility. The solver has shown around 30% saving in least square matrix evaluation time.
 
Publisher WORLD SCIENTIFIC PUBL CO PTE LTD
 
Date 2011-09-02T00:29:51Z
2011-12-26T12:59:52Z
2011-12-27T05:52:52Z
2011-09-02T00:29:51Z
2011-12-26T12:59:52Z
2011-12-27T05:52:52Z
2009
 
Type Article
 
Identifier INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 6(3), 425-446
0219-8762
http://dspace.library.iitb.ac.in/xmlui/handle/10054/12909
http://hdl.handle.net/10054/12909
 
Language en