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JCPHY
2016

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A third-order multistep time discretization for a Chebyshev tau spectral method

10 years 28 days ago

A time discretization scheme based on the third-order backward diﬀerence formula has been embedded into a Chebyshev tau spectral method for the Navier-Stokes equations. The time...

A. W. Vreman, J. G. M. Kuerten

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JCPHY
2016

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On regularizations of the Dirac delta distribution

10 years 28 days ago

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In this article we consider regularizations of the Dirac delta distribution with applications to prototypical elliptic and hyperbolic partial di↵erential equations (PDEs). We st...

Bamdad Hosseini, Nilima Nigam, John M. Stockie

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30

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JCPHY
2016

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Mass-corrections for the conservative coupling of flow and transport on collocated meshes

10 years 28 days ago

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Buoyancy-driven ﬂow models demand a careful treatment of the mass-balance equation to avoid spurious source and sink terms in the non-linear coupling between ﬂow and transport....

Christian Waluga, Barbara I. Wohlmuth, Ulrich R&uu...

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27

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JCPHY
2016

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Immersed boundary smooth extension: A high-order method for solving PDE on arbitrary smooth domains using Fourier spectral metho

10 years 28 days ago

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The Immersed Boundary method is a simple, eﬃcient, and robust numerical scheme for solving PDE in general domains, yet it only achieves ﬁrst-order spatial accuracy near embedd...

David B. Stein, Robert D. Guy, Becca Thomases

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29

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JCP
2016

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A Set Intersection Algorithm Via x-Fast Trie

10 years 28 days ago