Examining the accuracy of astrophysical disk simulations with a generalized hydrodynamical test problem [The role of pressure and viscosity in SPH simulations of astrophysical disks]

Raskin, Cody; Owen, J. Michael

doi:10.3847/0004-637x/831/1/26

Title: Examining the accuracy of astrophysical disk simulations with a generalized hydrodynamical test problem [The role of pressure and viscosity in SPH simulations of astrophysical disks]

Abstract

Here, we discuss a generalization of the classic Keplerian disk test problem allowing for both pressure and rotational support, as a method of testing astrophysical codes incorporating both gravitation and hydrodynamics. We argue for the inclusion of pressure in rotating disk simulations on the grounds that realistic, astrophysical disks exhibit non-negligible pressure support. We then apply this test problem to examine the performance of various smoothed particle hydrodynamics (SPH) methods incorporating a number of improvements proposed over the years to address problems noted in modeling the classical gravitation-only Keplerian disk. We also apply this test to a newly developed extension of SPH based on reproducing kernels called CRKSPH. Counterintuitively, we find that pressure support worsens the performance of traditional SPH on this problem, causing unphysical collapse away from the steady-state disk solution even more rapidly than the purely gravitational problem, whereas CRKSPH greatly reduces this error.

Authors:

Raskin, Cody ^[1]; Owen, J. Michael ^[1]

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)

Publication Date:: Mon Oct 24 00:00:00 EDT 2016

Research Org.:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 1324513

Report Number(s):: LLNL-JRNL-690091
Journal ID: ISSN 1538-4357

Grant/Contract Number:: AC52-07NA27344

Resource Type:: Accepted Manuscript

Journal Name:: The Astrophysical Journal (Online)

Additional Journal Information:: Journal Name: The Astrophysical Journal (Online); Journal Volume: 831; Journal Issue: 1; Journal ID: ISSN 1538-4357

Publisher:: Institute of Physics (IOP)

Country of Publication:: United States

Language:: English

Subject:: 79 ASTRONOMY AND ASTROPHYSICS; accretion; accretion disks; hydrodynamics; methods: numerical

Citation Formats


                    Raskin, Cody, and Owen, J. Michael. Examining the accuracy of astrophysical disk simulations with a generalized hydrodynamical test problem [The role of pressure and viscosity in SPH simulations of astrophysical disks].  United States: N. p., 2016. 
Web.  doi:10.3847/0004-637x/831/1/26.

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                    Raskin, Cody, & Owen, J. Michael. Examining the accuracy of astrophysical disk simulations with a generalized hydrodynamical test problem [The role of pressure and viscosity in SPH simulations of astrophysical disks].  United States.  https://doi.org/10.3847/0004-637x/831/1/26

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                    Raskin, Cody, and Owen, J. Michael. Mon .  
"Examining the accuracy of astrophysical disk simulations with a generalized hydrodynamical test problem [The role of pressure and viscosity in SPH simulations of astrophysical disks]".  United States.  https://doi.org/10.3847/0004-637x/831/1/26.  https://www.osti.gov/servlets/purl/1324513.

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@article{osti_1324513,

  title        = {Examining the accuracy of astrophysical disk simulations with a generalized hydrodynamical test problem [The role of pressure and viscosity in SPH simulations of astrophysical disks]},

  author       = {Raskin, Cody and Owen, J. Michael},

  abstractNote = {Here, we discuss a generalization of the classic Keplerian disk test problem allowing for both pressure and rotational support, as a method of testing astrophysical codes incorporating both gravitation and hydrodynamics. We argue for the inclusion of pressure in rotating disk simulations on the grounds that realistic, astrophysical disks exhibit non-negligible pressure support. We then apply this test problem to examine the performance of various smoothed particle hydrodynamics (SPH) methods incorporating a number of improvements proposed over the years to address problems noted in modeling the classical gravitation-only Keplerian disk. We also apply this test to a newly developed extension of SPH based on reproducing kernels called CRKSPH. Counterintuitively, we find that pressure support worsens the performance of traditional SPH on this problem, causing unphysical collapse away from the steady-state disk solution even more rapidly than the purely gravitational problem, whereas CRKSPH greatly reduces this error.},

  doi          = {10.3847/0004-637x/831/1/26},

  journal      = {The Astrophysical Journal (Online)},

  number       = 1,

  volume       = 831,

  place        = {United States},

  year         = {Mon Oct 24 00:00:00 EDT 2016},

  month        = {Mon Oct 24 00:00:00 EDT 2016}

}

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Works referencing / citing this record:

The Borg Cube Simulation: Cosmological Hydrodynamics with CRK-SPH
journal, May 2019

Emberson, J. D.; Frontiere, Nicholas; Habib, Salman
The Astrophysical Journal, Vol. 877, Issue 2
DOI: 10.3847/1538-4357/ab1b31

The Borg Cube Simulation: Cosmological Hydrodynamics with CRK-SPH
text, January 2018

Emberson, J. D.; Frontiere, Nicholas; Habib, Salman
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Title: Examining the accuracy of astrophysical disk simulations with a generalized hydrodynamical test problem [The role of pressure and viscosity in SPH simulations of astrophysical disks]

Abstract

Citation Formats

The Formation of Massive Star Systems by Accretion journal, February 2009

Tidal Disruption and Ignition of White Dwarfs by Moderately Massive Black Holes journal, March 2009

SUB-CHANDRASEKHAR WHITE DWARF MERGERS AS THE PROGENITORS OF TYPE Ia SUPERNOVAE journal, September 2010

Disk Accretion onto High‐Mass Planets journal, December 1999

Formation Rates of Black Hole Accretion Disk Gamma‐Ray Bursts journal, November 1999

TYPE Ia SUPERNOVAE FROM MERGING WHITE DWARFS. I. PROMPT DETONATIONS journal, April 2014

On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation journal, October 1990

Inviscid smoothed particle hydrodynamics: Inviscid smoothed particle hydrodynamics journal, July 2010

Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme journal, March 1974

Toward First-Principle Simulations of Galaxy Formation: I. How Should We Choose Star-Formation Criteria in High-Resolution Simulations of Disk Galaxies? journal, August 2008

TYPE Ia SUPERNOVAE FROM MERGING WHITE DWARFS. II. POST-MERGER DETONATIONS journal, May 2014

The cosmological simulation code gadget-2 journal, December 2005

Interplay Between Stellar Spirals and the Interstellar Medium in Galactic Disks journal, June 2011

Three‐dimensional Simulations of Runaway Instability of Self‐gravitating Accretion Disks journal, November 1997

Three‐Dimensional Radiative Hydrodynamics for Disk Stability Simulations: A Proposed Testing Standard and New Results journal, August 2007

Shear Flows in Smoothed Particle Hydrodynamics journal, April 2002

An improved SPH scheme for cosmological simulations journal, November 2015

von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms journal, October 1995

A numerical approach to the testing of the fission hypothesis journal, December 1977

COLLISIONS OF WHITE DWARFS AS A NEW PROGENITOR CHANNEL FOR TYPE Ia SUPERNOVAE journal, October 2009

Smoothed Particle Hydrodynamics Confronts Theory: Formation of Standing Shocks in Accretion Disks and Winds around Black Holes journal, November 1993

Entropy Splitting and Numerical Dissipation journal, July 2000

A Switch to Reduce SPH Viscosity journal, September 1997

A tensor artificial viscosity for SPH journal, December 2004

Coevolution of Galactic Cores and Spiral Galaxies journal, October 2004

A new class of accurate, mesh-free hydrodynamic simulation methods journal, April 2015

Fourier's Series journal, December 1898

SPH simulations of tidally unstable accretion discs in cataclysmic variables journal, March 1996

Remnants of Binary White Dwarf Mergers journal, January 2012

Simulating black hole white dwarf encounters journal, July 2008

56 Ni PRODUCTION IN DOUBLE-DEGENERATE WHITE DWARF COLLISIONS journal, October 2010

Properties of thick discs formed in clumpy galaxies journal, April 2014

Smoothed Particle Hydrodynamics: Some recent improvements and applications journal, December 1996

Smoothed particle hydrodynamics: theory and application to non-spherical stars journal, December 1977

Testing the locality of transport in self-gravitating accretion discs journal, June 2004

Galactic Dynamics book, October 2011

SNSPH: A Parallel Three‐dimensional Smoothed Particle Radiation Hydrodynamics Code journal, May 2006

Reproducing kernel particle methods journal, April 1995

Controlling artificial viscosity in smoothed particle hydrodynamics simulations of accretion disks journal, June 2010

Redistribution of angular momentum by nonaxisymmetric instabilities in a thick accretion disk journal, September 1986

Adaptive Smoothed Particle Hydrodynamics: Methodology. II. journal, June 1998

A compatibly differenced total energy conserving form of SPH: A COMPATIBLY DIFFERENCED TOTAL ENERGY CONSERVING FORM OF SPH journal, April 2014

The effect of Poisson noise on SPH calculations journal, June 2009

A Comparison of sph Artificial Viscosities and Their Impact on the Keplerian disk journal, June 2016

Gas Giant Protoplanet Formation: Disk Instability Models with Thermodynamics and Radiative Transfer journal, December 2001

Shock simulation by the particle method SPH journal, November 1983

Smoothed Particle Hydrodynamics: Physical viscosity and the simulation of accretion disks journal, August 1994

Timescales for planetary accretion and the structure of the protoplanetary disk journal, February 1987

On the formation of protostellar disks journal, December 1981

Cardinal interpolation and spline functions: II interpolation of data of power growth journal, December 1972

The Borg Cube Simulation: Cosmological Hydrodynamics with CRK-SPH journal, May 2019

The Borg Cube Simulation: Cosmological Hydrodynamics with CRK-SPH text, January 2018

The Formation of Massive Star Systems by Accretion
journal, February 2009

Tidal Disruption and Ignition of White Dwarfs by Moderately Massive Black Holes
journal, March 2009

SUB-CHANDRASEKHAR WHITE DWARF MERGERS AS THE PROGENITORS OF TYPE Ia SUPERNOVAE
journal, September 2010

Disk Accretion onto High‐Mass Planets
journal, December 1999

Formation Rates of Black Hole Accretion Disk Gamma‐Ray Bursts
journal, November 1999

TYPE Ia SUPERNOVAE FROM MERGING WHITE DWARFS. I. PROMPT DETONATIONS
journal, April 2014

On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
journal, October 1990

Inviscid smoothed particle hydrodynamics: Inviscid smoothed particle hydrodynamics
journal, July 2010

Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
journal, March 1974

Toward First-Principle Simulations of Galaxy Formation: I. How Should We Choose Star-Formation Criteria in High-Resolution Simulations of Disk Galaxies?
journal, August 2008

TYPE Ia SUPERNOVAE FROM MERGING WHITE DWARFS. II. POST-MERGER DETONATIONS
journal, May 2014

The cosmological simulation code gadget-2
journal, December 2005

Interplay Between Stellar Spirals and the Interstellar Medium in Galactic Disks
journal, June 2011

Three‐dimensional Simulations of Runaway Instability of Self‐gravitating Accretion Disks
journal, November 1997

Three‐Dimensional Radiative Hydrodynamics for Disk Stability Simulations: A Proposed Testing Standard and New Results
journal, August 2007

Shear Flows in Smoothed Particle Hydrodynamics
journal, April 2002

An improved SPH scheme for cosmological simulations
journal, November 2015

von Neumann stability analysis of smoothed particle hydrodynamics—suggestions for optimal algorithms
journal, October 1995

A numerical approach to the testing of the fission hypothesis
journal, December 1977

COLLISIONS OF WHITE DWARFS AS A NEW PROGENITOR CHANNEL FOR TYPE Ia SUPERNOVAE
journal, October 2009

Smoothed Particle Hydrodynamics Confronts Theory: Formation of Standing Shocks in Accretion Disks and Winds around Black Holes
journal, November 1993

Entropy Splitting and Numerical Dissipation
journal, July 2000

A Switch to Reduce SPH Viscosity
journal, September 1997

A tensor artificial viscosity for SPH
journal, December 2004

Coevolution of Galactic Cores and Spiral Galaxies
journal, October 2004

A new class of accurate, mesh-free hydrodynamic simulation methods
journal, April 2015

Fourier's Series
journal, December 1898

SPH simulations of tidally unstable accretion discs in cataclysmic variables
journal, March 1996

Remnants of Binary White Dwarf Mergers
journal, January 2012

Simulating black hole white dwarf encounters
journal, July 2008

⁵⁶ Ni PRODUCTION IN DOUBLE-DEGENERATE WHITE DWARF COLLISIONS
journal, October 2010

Properties of thick discs formed in clumpy galaxies
journal, April 2014

Smoothed Particle Hydrodynamics: Some recent improvements and applications
journal, December 1996

Smoothed particle hydrodynamics: theory and application to non-spherical stars
journal, December 1977

Testing the locality of transport in self-gravitating accretion discs
journal, June 2004

Galactic Dynamics
book, October 2011

SNSPH: A Parallel Three‐dimensional Smoothed Particle Radiation Hydrodynamics Code
journal, May 2006

Reproducing kernel particle methods
journal, April 1995

Controlling artificial viscosity in smoothed particle hydrodynamics simulations of accretion disks
journal, June 2010

Redistribution of angular momentum by nonaxisymmetric instabilities in a thick accretion disk
journal, September 1986

Adaptive Smoothed Particle Hydrodynamics: Methodology. II.
journal, June 1998

A compatibly differenced total energy conserving form of SPH: A COMPATIBLY DIFFERENCED TOTAL ENERGY CONSERVING FORM OF SPH
journal, April 2014

The effect of Poisson noise on SPH calculations
journal, June 2009

A Comparison of sph Artificial Viscosities and Their Impact on the Keplerian disk
journal, June 2016

Gas Giant Protoplanet Formation: Disk Instability Models with Thermodynamics and Radiative Transfer
journal, December 2001

Shock simulation by the particle method SPH
journal, November 1983

Smoothed Particle Hydrodynamics: Physical viscosity and the simulation of accretion disks
journal, August 1994

Timescales for planetary accretion and the structure of the protoplanetary disk
journal, February 1987

On the formation of protostellar disks
journal, December 1981

Cardinal interpolation and spline functions: II interpolation of data of power growth
journal, December 1972

The Borg Cube Simulation: Cosmological Hydrodynamics with CRK-SPH
journal, May 2019

The Borg Cube Simulation: Cosmological Hydrodynamics with CRK-SPH
text, January 2018