A piecewise parabolic method for cosmological hydrodynamics

Greg L. Bryan; Michael L. Norman; James M. Stone; Renyue Cen; Jeremiah P. Ostriker

doi:10.1016/0010-4655(94)00191-4

A piecewise parabolic method for cosmological hydrodynamics

Greg L. Bryan, Michael L. Norman, James M. Stone, Renyue Cen, Jeremiah P. Ostriker

Research output: Contribution to journal › Article › peer-review

171 Scopus citations

Abstract

We describe a hybrid scheme for cosmological simulations that incorporates a Lagrangean particle-mesh (PM) algorithm to follow the collisionless matter with the higher order accurate piecewise parabolic method (PPM) to solve the equations of gas dynamics. Both components interact through the gravitational potential, which requires the solution of Poisson's equation, here done by Fourier transforms. Due to the vast range of conditions that occur in cosmological flows (pressure differences of up to fourteen orders of magnitude), a number of additions and modifications to PPM were required to produce accurate results. These are described, as are a suite of cosmological tests.

Original language	English (US)
Pages (from-to)	149-168
Number of pages	20
Journal	Computer Physics Communications
Volume	89
Issue number	1-3
DOIs	https://doi.org/10.1016/0010-4655(94)00191-4
State	Published - Aug 2 1995
Externally published	Yes

All Science Journal Classification (ASJC) codes

Hardware and Architecture
General Physics and Astronomy

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10.1016/0010-4655(94)00191-4

Cite this

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title = "A piecewise parabolic method for cosmological hydrodynamics",

abstract = "We describe a hybrid scheme for cosmological simulations that incorporates a Lagrangean particle-mesh (PM) algorithm to follow the collisionless matter with the higher order accurate piecewise parabolic method (PPM) to solve the equations of gas dynamics. Both components interact through the gravitational potential, which requires the solution of Poisson's equation, here done by Fourier transforms. Due to the vast range of conditions that occur in cosmological flows (pressure differences of up to fourteen orders of magnitude), a number of additions and modifications to PPM were required to produce accurate results. These are described, as are a suite of cosmological tests.",

author = "Bryan, {Greg L.} and Norman, {Michael L.} and Stone, {James M.} and Renyue Cen and Ostriker, {Jeremiah P.}",

note = "Funding Information: We are gratefulf or supportf rom NSF HPCC grant ASC93-181815G. LB and MLN were supportedin part by NASA grant NAGW-3152. RC and JPO were supportedin part by NASA grant NAGW-2448 and NSF",

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doi = "10.1016/0010-4655(94)00191-4",

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T1 - A piecewise parabolic method for cosmological hydrodynamics

AU - Bryan, Greg L.

AU - Norman, Michael L.

AU - Stone, James M.

AU - Cen, Renyue

AU - Ostriker, Jeremiah P.

N1 - Funding Information: We are gratefulf or supportf rom NSF HPCC grant ASC93-181815G. LB and MLN were supportedin part by NASA grant NAGW-3152. RC and JPO were supportedin part by NASA grant NAGW-2448 and NSF

PY - 1995/8/2

Y1 - 1995/8/2

N2 - We describe a hybrid scheme for cosmological simulations that incorporates a Lagrangean particle-mesh (PM) algorithm to follow the collisionless matter with the higher order accurate piecewise parabolic method (PPM) to solve the equations of gas dynamics. Both components interact through the gravitational potential, which requires the solution of Poisson's equation, here done by Fourier transforms. Due to the vast range of conditions that occur in cosmological flows (pressure differences of up to fourteen orders of magnitude), a number of additions and modifications to PPM were required to produce accurate results. These are described, as are a suite of cosmological tests.

AB - We describe a hybrid scheme for cosmological simulations that incorporates a Lagrangean particle-mesh (PM) algorithm to follow the collisionless matter with the higher order accurate piecewise parabolic method (PPM) to solve the equations of gas dynamics. Both components interact through the gravitational potential, which requires the solution of Poisson's equation, here done by Fourier transforms. Due to the vast range of conditions that occur in cosmological flows (pressure differences of up to fourteen orders of magnitude), a number of additions and modifications to PPM were required to produce accurate results. These are described, as are a suite of cosmological tests.

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A piecewise parabolic method for cosmological hydrodynamics

Abstract

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