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dc.contributor.authorKhurshid, Hassan
dc.contributor.authorHoffmann, Klaus A.
dc.date.accessioned2015-02-10T14:54:42Z
dc.date.available2015-02-10T14:54:42Z
dc.date.issued2015-01
dc.identifier.citationKhurshid, Hassan; Hoffmann, Klaus A. 2015. Development of a high-order solver for blood flow. Engineering with Computers, vol. 31:no. 1:pp 51-71en_US
dc.identifier.issn0177-0667
dc.identifier.otherWOS:000347404400004
dc.identifier.urihttp://dx.doi.org/10.1007/s00366-013-0324-z
dc.identifier.urihttp://hdl.handle.net/10057/11061
dc.descriptionClick on the DOI link to access the article (may not be free).en_US
dc.description.abstractA high-order solver for the blood flow is developed and analyzed using a two-dimensional backward-facing step. In the first part, a Newtonian steady code to solve the incompressible Navier-Stokes (N-S) equations has been developed. The accuracy of the code is verified by comparing the results to the experimental results. An exact projection method/fractional-step scheme is used to solve the incompressible N-S equations. Convective terms of the N-S equations are solved using fifth-order WENO spatial operators, and for the diffusion terms, a sixth- order compact central difference scheme is employed. The third-order Runge-Kutta (R-K) explicit time-integrating scheme with total variation diminishing (TVD) is adopted for time discretization. In the second part, the pulsatile behavior of the Newtonian blood flow has been added to the initial program. Thirdly, the numerical code has been extended to include the steady and pulsatile effects in non-Newtonian blood flow. Finally, a practical example of bend tube has been analyzed by extending the two-dimensional code to 3D and the results are compared to already published data.en_US
dc.language.isoen_USen_US
dc.publisherSpringer International Publishing AGen_US
dc.relation.ispartofseriesEngineering with Computers;v.31:no.1
dc.subjectWENO schemeen_US
dc.subjectNon-Newtonian flowen_US
dc.subjectIncompressibleen_US
dc.titleDevelopment of a high-order solver for blood flowen_US
dc.typeArticleen_US
dc.rights.holder© Springer International Publishing AG


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