scholarly journals Caltech-DOE program on numerical analysis, scientific computing and fundamental studies of fluid mechanics: Final report, 1 April 1986--31 March 1989

1989 ◽  
Author(s):  
Not Given Author
Keyword(s):  
Numerical Analysis ◽  
Fluid Mechanics ◽  
Scientific Computing ◽  
Final Report

The numerical analysis of bifurcation problems with application to fluid mechanics

Acta Numerica ◽  
2000 ◽  
Vol 9 ◽  
pp. 39-131 ◽  
Author(s):  
K. A. Cliffe ◽  
A. Spence ◽  
S. J. Tavener
Keyword(s):  
Numerical Analysis ◽  
Fluid Mechanics ◽  
Stokes Equations ◽  
Mixed Finite Element ◽  
Finite Difference Methods ◽  
Singularity Theory ◽  
Mixed Finite Element Method ◽  
Convergence Theory ◽  
Navier Stokes ◽  
Bifurcation Problems

In this review we discuss bifurcation theory in a Banach space setting using the singularity theory developed by Golubitsky and Schaeffer to classify bifurcation points. The numerical analysis of bifurcation problems is discussed and the convergence theory for several important bifurcations is described for both projection and finite difference methods. These results are used to provide a convergence theory for the mixed finite element method applied to the steady incompressible Navier–Stokes equations. Numerical methods for the calculation of several common bifurcations are described and the performance of these methods is illustrated by application to several problems in fluid mechanics. A detailed description of the Taylor–Couette problem is given, and extensive numerical and experimental results are provided for comparison and discussion.

Combining Imaging Modalities in the Modeling of Multiparameter Devices

2013 ◽  
Vol 7 (4) ◽  
Author(s):  
Jens Vinge Nygaard
Keyword(s):  
Numerical Analysis ◽  
Fluid Mechanics ◽  
Modeling And Simulation ◽  
Medical Devices ◽  
Numerical Models ◽  
Imaging Modalities ◽  
Length Scales ◽  
Geometrical Information ◽  
Multiphysics Problems

Modeling and simulation of medical devices are typically established to identify parameter dependencies within the system of interest. Most devices are multiphysics problems considering solid and fluid mechanics, and electromagnetic mechanisms bridging time and length scales. Typically, the geometries of interest are described by complex morphologies of biological components. These factors all contribute to significant complexity of the developed numerical models. Access to imaging modalities capable of providing the geometrical information of relevance is central in the establishment and verification of numerical analysis. Here, data from image-based models obtained with MRI and μCT to risk access patients prone to realizing stroke, and to evaluate drug eluding scaffolds is presented.

Numerical Analysis and Scientific Computing

2009 ◽  
pp. 341-440
Author(s):  
Inna Shingareva ◽  
Carlos Lizárraga-Celaya
Keyword(s):  
Numerical Analysis ◽  
Scientific Computing

scholarly journals Final Report for the Account Creation/Deletion Reenginering Task for the Scientific Computing Department

2002 ◽  
Author(s):  
BARBARA J JENNINGS ◽  
PAULA L MCALLISTER
Keyword(s):  
Scientific Computing ◽  
Final Report ◽  
Computing Department
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