The method of regularized Stokeslets is a Lagrangian method for computing Stokes flow driven by forces distributed at material points in a fluid. It is based on the superposition of exact solutions of the Stokes equations when forces are given by a cutoff function. We present this method in three dimensions, along with an analysis of its accuracy and performance on the model problems of flow past a sphere and the steady state rotation of rigid helical tubes. Predicted swimming speeds for various helical geometries are compared with experimental data for motile spirochetes. In addition, the regularized Stokeslet method is readily implemented in conjunction with an immersed boundary representation of an elastic helix that incorporates passive elastic properties as well as mechanisms of internal force generation.
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March 2005
Research Article|
February 23 2005
The method of regularized Stokeslets in three dimensions: Analysis, validation, and application to helical swimming Available to Purchase
Ricardo Cortez;
Ricardo Cortez
a)
Department of Mathematics, Tulane University
, 6823 St. Charles Avenue, New Orleans, Louisiana 70118
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Lisa Fauci;
Lisa Fauci
b)
Department of Mathematics, Tulane University
, 6823 St. Charles Avenue, New Orleans, Louisiana 70118
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Alexei Medovikov
Alexei Medovikov
c)
Department of Mathematics, Tulane University
, 6823 St. Charles Avenue, New Orleans, Louisiana 70118
Search for other works by this author on:
Ricardo Cortez
a)
Department of Mathematics, Tulane University
, 6823 St. Charles Avenue, New Orleans, Louisiana 70118
Lisa Fauci
b)
Department of Mathematics, Tulane University
, 6823 St. Charles Avenue, New Orleans, Louisiana 70118
Alexei Medovikov
c)
Department of Mathematics, Tulane University
, 6823 St. Charles Avenue, New Orleans, Louisiana 70118a)
Electronic mail: [email protected]
b)
Electronic mail: [email protected]
c)
Electronic mail: [email protected]
Physics of Fluids 17, 031504 (2005)
Article history
Accepted:
April 04 2004
Received:
September 18 2004
Citation
Ricardo Cortez, Lisa Fauci, Alexei Medovikov; The method of regularized Stokeslets in three dimensions: Analysis, validation, and application to helical swimming. Physics of Fluids 1 March 2005; 17 (3): 031504. https://doi.org/10.1063/1.1830486
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