Paper Info
Title
Efficient and Reliable Integration Methods for Particle Tracing in Unsteady Flows on Discrete Meshes
Abstract
In real applications the velocity field of a flow is not available in analytical but in discrete form. One goal of this paper is to analyze particle integration methods for discretized data defined on meshes with regard to nu- merical efficiency and accuracy. Careful error analysis of the particle tracing process relates the error of velocity interpolation in space and time to the error of the numerical integration. Hence, a fast integration routine which provides accuracy similar to that of interpolation is necessary. This leads to a r obust in- tegration routine with adaptive step size control and error monitoring. A second aspect of this work is the treatment of stiff problems. Stiffness occurs in fl ows with strong shear deformations or vorticity. To detect stiffness in a give n flow field, the Jacobian of the velocity field is analyzed. Implicit integration me thods are used to handle stiff systems of ordinary differential equations.
Year
DOI
Venue
1997
10.1007/978-3-7091-6876-9_4
Visualization in Scientific Computing
Field
DocType
Citations 
Particle tracking velocimetry,Discretization,Vorticity,Ordinary differential equation,Jacobian matrix and determinant,Vector field,Mathematical analysis,Computer science,Numerical integration,Interpolation
Conference
17
PageRank 
References 
Authors
1.37
5
3
Name
Order
Citations
PageRank
Christian Teitzel1313.98
Roberto Grosso212415.72
Thomas Ertl34417401.52