Record Details

A Residual Based h-Adaptive Strategy Employing A Zero Mean Polynomial Reconstruction

Electronic Theses of Indian Institute of Science

View Archive Info
 
 
Field Value
 
Title A Residual Based h-Adaptive Strategy Employing A Zero Mean Polynomial Reconstruction
 
Creator Patel, Sumit Kumar
 
Subject Fluid Flows
Zero Mean Polynomial (ZMP)
Three-Dimensional Fluid Flows
Grid Adaptation
Finite Volume Method
Grid Adaptation Sensor
Adaptive Algorithms
Fluid Mechanics
 
Description This thesis deals with the development of a new adaptive algorithm for three-dimensional fluid flows based on a residual error estimator. The residual, known as the R –parameter has been successfully extended to three dimensions using a novel approach for arbitrary grid topologies. The computation of the residual error estimator in three dimensions is based on a least-squares based reconstruction and the order of accuracy of the latter is critical in obtaining a consistent estimate of the error. The R –parameter can become inconsistent on three–dimensional meshes depending on the grid quality. A Zero Mean Polynomial(ZMP) which is k–exact, and which preserves the mean has been used in this thesis to overcome the problem. It is demonstrated that the ZMP approach leads to a more accurate estimation of solution derivatives as opposed to the conventional polynomial based least-squares method. The ZMP approach is employed to compute the R –parameter which is the n used to derive the criteria for refinement and derefinement. Studies on three different complex test problems involving inviscid, laminar and turbulent flows demonstrate that the new adaptive algorithm is capable of detecting the sources of error efficiently and lead to accurate results independent of the grid topology.
 
Contributor Balakrishnan, N
 
Date 2016-04-18T07:42:56Z
2016-04-18T07:42:56Z
2016-04-18
2012-12
 
Type Thesis
 
Identifier http://etd.iisc.ernet.in/handle/2005/2515
http://etd.ncsi.iisc.ernet.in/abstracts/3263/G25533-Abs.pdf
 
Language en_US
 
Relation G25533