Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Anil N. Hirani"'
Publikováno v:
Journal of Computational Physics. :112245
We present a discrete exterior calculus (DEC) based discretization scheme for incompressible two-phase flows. Our physically-compatible exterior calculus discretization of single phase flow is extended to simulate immiscible two-phase flows with disc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91d643da863d206397b553c0fa8a63c1
https://doi.org/10.1016/j.jcp.2023.112245
https://doi.org/10.1016/j.jcp.2023.112245
Autor:
Anil N. Hirani, Vaibhav Karve
Publikováno v:
Discrete Applied Mathematics. 283:123-132
A propositional logic sentence in conjunctive normal form that has clauses of length two (a 2-CNF) can be associated with a multigraph in which the vertices correspond to the variables and edges to clauses. We first show that every such sentence that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f3b817855eda0a6566798bdce1ae02c
https://doi.org/10.1016/j.dam.2019.12.017
https://doi.org/10.1016/j.dam.2019.12.017
Publikováno v:
Computational Geometry. 109:101937
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b27e8a325333e3c05791addda9808da
https://doi.org/10.1016/j.comgeo.2022.101937
https://doi.org/10.1016/j.comgeo.2022.101937
Publikováno v:
International Journal for Computational Methods in Engineering Science and Mechanics. 19:194-206
Discrete exterior calculus (DEC) is a structure-preserving numerical framework for partial differential equations solution, particularly suitable for simplicial meshes. A longstanding and widespread assumption has been that DEC requires special (Dela
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59410515f14e06c1d0f55d3737d5eeb0
https://doi.org/10.1080/15502287.2018.1446196
https://doi.org/10.1080/15502287.2018.1446196
Publikováno v:
Computer-Aided Design. 78:118-125
We investigate the performance of various discrete Hodge star operators for discrete exterior calculus (DEC) using circumcentric and barycentric dual meshes. The performance is evaluated through the DEC solution of Darcy and incompressible Navier-Sto
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9214c5efb1d51890e8b4e0eb360b8867
https://doi.org/10.1016/j.cad.2016.05.002
https://doi.org/10.1016/j.cad.2016.05.002
Publikováno v:
Journal of Computational Physics. 312:175-191
A conservative discretization of incompressible Navier-Stokes equations is developed based on discrete exterior calculus (DEC). A distinguishing feature of our method is the use of an algebraic discretization of the interior product operator and a co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b48e59de508037bf4d0b9005029f35f
https://doi.org/10.1016/j.jcp.2016.02.028
https://doi.org/10.1016/j.jcp.2016.02.028
Autor:
Alon Harris, William J. Thistleton, Andrea Dziubek, Anil N. Hirani, Giovanna Guidoboni, Edmond Rusjan
Publikováno v:
Biomechanics and Modeling in Mechanobiology. 15:893-907
A computational model for retinal hemodynamics accounting for ocular curvature is presented. The model combines (i) a hierarchical Darcy model for the flow through small arterioles, capillaries and small venules in the retinal tissue, where blood ves
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::38c9a1fd8dffdb72adad33d0439d550d
https://doi.org/10.1007/s10237-015-0731-8
https://doi.org/10.1007/s10237-015-0731-8
Autor:
Alan Demlow, Anil N. Hirani
Publikováno v:
Foundations of Computational Mathematics. 14:1337-1371
Finite element exterior calculus (FEEC) has been developed over the past decade as a framework for constructing and analyzing stable and accurate numerical methods for partial differential equations by employing differential complexes. The recent wor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0c7e74257e29d5c2a9611b69dc912b07
https://doi.org/10.1007/s10208-014-9203-2
https://doi.org/10.1007/s10208-014-9203-2
Publikováno v:
Computer-Aided Design. 96:59-60
A discrete diagonal Hodge star operator for pairwise Delaunay triangulations was described in Hirani et al. (2013). This note fixes errors in two figures and some indexing mistakes in the original paper. One consequence of this fix is that discrete e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cde958409bfe28c55a129733ca46278
https://doi.org/10.1016/j.cad.2017.09.005
https://doi.org/10.1016/j.cad.2017.09.005
Publikováno v:
Computer-Aided Design. 45:540-544
We define signed dual volumes at all dimensions for circumcentric dual meshes. We show that for pairwise Delaunay triangulations with mild boundary assumptions these signed dual volumes are positive. This allows the use of such Delaunay meshes for Di
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf9dd8c67c9b5002e487269ffb4d2ba9
https://doi.org/10.1016/j.cad.2012.10.038
https://doi.org/10.1016/j.cad.2012.10.038