A Compact Numerical Implementation for Solving Stokes Equations Using Matrix-vector Operations
Name:
1-s2.0-S1877050915011059-main.pdf
Size:
679.4Kb
Format:
PDF
Description:
Main article
Type
Conference PaperKAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2015-06-01Online Publication Date
2015-06-01Print Publication Date
2015Permanent link to this record
http://hdl.handle.net/10754/556714
Metadata
Show full item recordAbstract
In this work, a numerical scheme is implemented to solve Stokes equations based on cell-centered finite difference over staggered grid. In this scheme, all the difference operations have been vectorized thereby eliminating loops. This is particularly important when using programming languages that require interpretations, e.g., MATLAB and Python. Using this scheme, the execution time becomes significantly smaller compared with non-vectorized operations and also become comparable with those languages that require no repeated interpretations like FORTRAN, C, etc. This technique has also been applied to Navier-Stokes equations under laminar flow conditions.Citation
A Compact Numerical Implementation for Solving Stokes Equations Using Matrix-vector Operations 2015, 51:1208 Procedia Computer SciencePublisher
Elsevier BVJournal
Procedia Computer ScienceConference/Event name
International Conference on Computational Science, ICCS 2002Additional Links
http://linkinghub.elsevier.com/retrieve/pii/S1877050915011059ae974a485f413a2113503eed53cd6c53
10.1016/j.procs.2015.05.297