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Title: Numerical simulation of fluid flow through random packs of ellipses

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Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physics of Fluids
Additional Journal Information:
Journal Volume: 27; Journal Issue: 2; Related Information: CHORUS Timestamp: 2016-12-26 00:21:50; Journal ID: ISSN 1070-6631
American Institute of Physics
Country of Publication:
United States

Citation Formats

Matsumura, Y., Jenne, D., and Jackson, T. L.. Numerical simulation of fluid flow through random packs of ellipses. United States: N. p., 2015. Web. doi:10.1063/1.4907409.
Matsumura, Y., Jenne, D., & Jackson, T. L.. Numerical simulation of fluid flow through random packs of ellipses. United States. doi:10.1063/1.4907409.
Matsumura, Y., Jenne, D., and Jackson, T. L.. 2015. "Numerical simulation of fluid flow through random packs of ellipses". United States. doi:10.1063/1.4907409.
title = {Numerical simulation of fluid flow through random packs of ellipses},
author = {Matsumura, Y. and Jenne, D. and Jackson, T. L.},
abstractNote = {},
doi = {10.1063/1.4907409},
journal = {Physics of Fluids},
number = 2,
volume = 27,
place = {United States},
year = 2015,
month = 2

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1063/1.4907409

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Cited by: 2works
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  • Results of an extensive comparison of numerical methods for simulating hydrodynamics are presented and discussed. This study focuses on the simulation of fluid flows with strong shocks in two dimensions. By ''strong shocks,'' we here refer to shocks in which there is substantial entropy production. For the case of shocks in air, we therefore refer to Mach numbers of three and greater. For flows containing such strong shocks we find that a careful treatment of flow discontinuities is of greatest importance in obtaining accurate numerical results. Three aproaches to treating discontinuities in the flow are discussed-artificial viscosity, blending of low-more » and high-order-accurate fluxes, and the use of nonlinear solutions to Riemann's problem. The advantages and disadvantages of each approach are discussed and illustrated by computed results for three test problems. In this comparison we have focused our attention entirely upon the performance of schemes for differencing the hydrodynamic equations. We have regarded the nature of the grid upon which such differencing schemes are applied as an independent issue outside the scope of this work. Therefore we have restricted our study to the case of uniform, square computational zones in Cartesian coordinates. For simplicity we have further restricted our attention to two-dimensional difference schemes which are built out of symmetrized products of one-dimensional difference operators.« less