A well-balanced finite volume scheme for the Euler equations with gravitation - The exact preservation of hydrostatic equilibrium with arbitrary entropy stratification
A&A, 587 (2016) A94
Published online: 2016-02-23
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Spectral difference method with a posteriori limiting: II – Application to low Mach number flows
David A Velasco-Romero and Romain TeyssierMonthly Notices of the Royal Astronomical Society 537 (3) 2387 (2025)
https://doi.org/10.1093/mnras/staf133
High-Order Accurate Structure-Preserving Finite Volume Scheme for Ten-Moment Gaussian Closure Equations with Source Terms: Positivity and Well-Balancedness
Zhihao Zhang, Jiangfu Wang and Huazhong TangComputational Methods in Applied Mathematics 25 (3) 709 (2025)
https://doi.org/10.1515/cmam-2024-0198
Influence of muons, pions, and trapped neutrinos on neutron star mergers
Michael A. Pajkos and Elias R. MostPhysical Review D 111 (4) (2025)
https://doi.org/10.1103/PhysRevD.111.043013
Efficient and inefficient hydrodynamic escape of exo-satellite atmospheres driven by irradiation from their young giant planets
Matthäus Schulik, James E Owen, Richard A Booth, Shun Fai Ling and Shun Ping WongMonthly Notices of the Royal Astronomical Society 539 (3) 2121 (2025)
https://doi.org/10.1093/mnras/staf490
A well-balanced discontinuous Galerkin method for the first–order Z4 formulation of the Einstein–Euler system
Michael Dumbser, Olindo Zanotti, Elena Gaburro and Ilya PeshkovJournal of Computational Physics 504 112875 (2024)
https://doi.org/10.1016/j.jcp.2024.112875
Stability of aerostatic equilibria in porous medium flows
Ling Xue, Min Zhang and Kun ZhaoJournal of Differential Equations 378 678 (2024)
https://doi.org/10.1016/j.jde.2023.10.018
Nexus: a framework for controlled simulations of idealized galaxies
Thor Tepper-García, Joss Bland-Hawthorn, Eugene Vasiliev, Oscar Agertz, Romain Teyssier and Christoph FederrathMonthly Notices of the Royal Astronomical Society 535 (1) 187 (2024)
https://doi.org/10.1093/mnras/stae2372
A High-Order Well-Balanced Discontinuous Galerkin Method for Hyperbolic Balance Laws Based on the Gauss-Lobatto Quadrature Rules
Ziyao Xu and Chi-Wang ShuJournal of Scientific Computing 101 (2) (2024)
https://doi.org/10.1007/s10915-024-02661-8
Well-balanced Hydrodynamics for the Piecewise Parabolic Method with Characteristic Tracing
Michael ZingaleResearch Notes of the AAS 8 (9) 219 (2024)
https://doi.org/10.3847/2515-5172/ad76b0
Sensitivity of Simulations of Double-detonation Type Ia Supernovae to Integration Methodology
Michael Zingale, Zhi Chen, Melissa Rasmussen, Abigail Polin, Max Katz, Alexander Smith Clark and Eric T. JohnsonThe Astrophysical Journal 966 (2) 150 (2024)
https://doi.org/10.3847/1538-4357/ad3441
Improved well-balanced AWENO schemes with hydrostatic reconstruction for the Euler equations under gravitational fields
Qingcheng Fu, Zhen Gao, Yaguang Gu, Peng Li and Bao-Shan WangMathematics and Computers in Simulation 221 260 (2024)
https://doi.org/10.1016/j.matcom.2024.03.007
Well-balanced positivity-preserving high-order discontinuous Galerkin methods for Euler equations with gravitation
Jie Du, Yang Yang and Fangyao ZhuJournal of Computational Physics 505 112877 (2024)
https://doi.org/10.1016/j.jcp.2024.112877
A Well-Balanced Semi-implicit IMEX Finite Volume Scheme for Ideal Magnetohydrodynamics at All Mach Numbers
Claudius Birke, Walter Boscheri and Christian KlingenbergJournal of Scientific Computing 98 (2) (2024)
https://doi.org/10.1007/s10915-023-02422-z
High order structure-preserving arbitrary Lagrangian-Eulerian discontinuous Galerkin methods for the Euler equations under gravitational fields
Weijie Zhang, Yulong Xing, Yinhua Xia and Yan XuComputers & Mathematics with Applications 146 339 (2023)
https://doi.org/10.1016/j.camwa.2023.07.029
Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws
I. Gómez-Bueno, S. Boscarino, M.J. Castro, C. Parés and G. RussoApplied Numerical Mathematics 184 18 (2023)
https://doi.org/10.1016/j.apnum.2022.09.016
aiolos – A multipurpose 1D hydrodynamics code for planetary atmospheres
Matthäus Schulik and Richard A BoothMonthly Notices of the Royal Astronomical Society 523 (1) 286 (2023)
https://doi.org/10.1093/mnras/stad1251
Monochromatic Two-Fluid Alfvén Waves in the Partially Ionised Solar Chromosphere
J. Kraskiewicz, K. Murawski, F. Zhang and S. PoedtsSolar Physics 298 (1) (2023)
https://doi.org/10.1007/s11207-022-02095-1
Scale-Invariant Multi-resolution Alternative WENO Scheme for the Euler Equations
Peng Li, Tingting Li, Wai-Sun Don and Bao-Shan WangJournal of Scientific Computing 94 (1) (2023)
https://doi.org/10.1007/s10915-022-02065-6
High order well-balanced positivity-preserving scale-invariant AWENO scheme for Euler systems with gravitational field
Yaguang Gu, Zhen Gao, Guanghui Hu, Peng Li and Qingcheng FuJournal of Computational Physics 488 112190 (2023)
https://doi.org/10.1016/j.jcp.2023.112190
On high order positivity-preserving well-balanced finite volume methods for the Euler equations with gravitation
Yupeng Ren, Kailiang Wu, Jianxian Qiu and Yulong XingJournal of Computational Physics 492 112429 (2023)
https://doi.org/10.1016/j.jcp.2023.112429
Comparing Early Evolution of Flames in X-Ray Bursts in Two and Three Dimensions
Michael Zingale, Kiran Eiden and Max KatzThe Astrophysical Journal 952 (2) 160 (2023)
https://doi.org/10.3847/1538-4357/ace04e
Well-balanced numerical method for atmospheric flow equations with gravity
Alina Chertock, Alexander Kurganov, Tong Wu and Jun YanApplied Mathematics and Computation 439 127587 (2023)
https://doi.org/10.1016/j.amc.2022.127587
Effects of mesh topology on MHD solution features in coronal simulations
M. Brchnelova, F. Zhang, P. Leitner, et al.Journal of Plasma Physics 88 (2) (2022)
https://doi.org/10.1017/S0022377822000241
Positivity-preserving well-balanced central discontinuous Galerkin schemes for the Euler equations under gravitational fields
Haili Jiang, Huazhong Tang and Kailiang WuJournal of Computational Physics 463 111297 (2022)
https://doi.org/10.1016/j.jcp.2022.111297
Dust formation in the outflows of catastrophically evaporating planets
Richard A Booth, James E Owen and Matthäus SchulikMonthly Notices of the Royal Astronomical Society 518 (2) 1761 (2022)
https://doi.org/10.1093/mnras/stac3121
Energy conserving and well-balanced discontinuous Galerkin methods for the Euler–Poisson equations in spherical symmetry
Weijie Zhang, Yulong Xing and Eirik EndeveMonthly Notices of the Royal Astronomical Society 514 (1) 370 (2022)
https://doi.org/10.1093/mnras/stac1257
A well-balanced Runge-Kutta discontinuous Galerkin method for the Euler equations in isothermal hydrostatic state under gravitational field
Ziming Chen, Yingjuan Zhang, Gang Li and Shouguo QianComputers & Mathematics with Applications 119 340 (2022)
https://doi.org/10.1016/j.camwa.2022.05.025
Toward fully compressible numerical simulations of stellar magneto-convection with the RAMSES code
J. R. Canivete Cuissa and R. TeyssierAstronomy & Astrophysics 664 A24 (2022)
https://doi.org/10.1051/0004-6361/202142754
High Order Well-balanced Conservative Finite Difference AWENO Scheme with Hydrostatic Reconstruction for the Euler Equations Under Gravitational Fields
Qingcheng Fu, Zhen Gao, Yaguang Gu and Peng LiApplied Numerical Mathematics (2022)
https://doi.org/10.1016/j.apnum.2022.05.005
Well-balanced methods for computational astrophysics
Roger KäppeliLiving Reviews in Computational Astrophysics 8 (1) (2022)
https://doi.org/10.1007/s41115-022-00014-6
Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields
Peng Li and Zhen GaoJournal of Computational Physics 437 110341 (2021)
https://doi.org/10.1016/j.jcp.2021.110341
High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws
Jonas P. Berberich, Praveen Chandrashekar and Christian KlingenbergComputers & Fluids 219 104858 (2021)
https://doi.org/10.1016/j.compfluid.2021.104858
Multidimensional low-Mach number time-implicit hydrodynamic simulations of convective helium shell burning in a massive star
L. Horst, R. Hirschi, P. V. F. Edelmann, R. Andrássy and F. K. RöpkeAstronomy & Astrophysics 653 A55 (2021)
https://doi.org/10.1051/0004-6361/202140825
Application of Two-dimensional Finite Volume Method to Protoplanetary Disks
Tarik ChakkourInternational Journal of Mechanics 15 233 (2021)
https://doi.org/10.46300/9104.2021.15.27
Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws
Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés and Giovanni RussoMathematics 9 (15) 1799 (2021)
https://doi.org/10.3390/math9151799
Well-balanced treatment of gravity in astrophysical fluid dynamics simulations at low Mach numbers
P. V. F. Edelmann, L. Horst, J. P. Berberich, et al.Astronomy & Astrophysics 652 A53 (2021)
https://doi.org/10.1051/0004-6361/202140653
A Unified Framework for the Solution of Hyperbolic PDE Systems Using High Order Direct Arbitrary-Lagrangian–Eulerian Schemes on Moving Unstructured Meshes with Topology Change
Elena GaburroArchives of Computational Methods in Engineering 28 (3) 1249 (2021)
https://doi.org/10.1007/s11831-020-09411-7
thornado-hydro: A Discontinuous Galerkin Method for Supernova Hydrodynamics with Nuclear Equations of State*
David Pochik, Brandon L. Barker, Eirik Endeve, Jesse Buffaloe, Samuel J. Dunham, Nick Roberts and Anthony MezzacappaThe Astrophysical Journal Supplement Series 253 (1) 21 (2021)
https://doi.org/10.3847/1538-4365/abd700
Uniformly High-Order Structure-Preserving Discontinuous Galerkin Methods for Euler Equations with Gravitation: Positivity and Well-Balancedness
Kailiang Wu and Yulong XingSIAM Journal on Scientific Computing 43 (1) A472 (2021)
https://doi.org/10.1137/20M133782X
Sensitivity Parameter-Independent Characteristic-Wise Well-Balanced Finite Volume WENO Scheme for the Euler Equations Under Gravitational Fields
Peng Li, Bao-Shan Wang and Wai-Sun DonJournal of Scientific Computing 88 (2) (2021)
https://doi.org/10.1007/s10915-021-01562-4
On the Active Flux Scheme for Hyperbolic PDEs with Source Terms
Wasilij Barsukow, Jonas P. Berberich and Christian KlingenbergSIAM Journal on Scientific Computing 43 (6) A4015 (2021)
https://doi.org/10.1137/20M1346675
A Well Balanced Finite Volume Scheme for General Relativity
Elena Gaburro, Manuel J. Castro and Michael DumbserSIAM Journal on Scientific Computing 43 (6) B1226 (2021)
https://doi.org/10.1137/21M1399154
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity
Andrea Thomann, Gabriella Puppo and Christian KlingenbergJournal of Computational Physics 420 109723 (2020)
https://doi.org/10.1016/j.jcp.2020.109723
Hydrodynamics of core-collapse supernovae and their progenitors
Bernhard MüllerLiving Reviews in Computational Astrophysics 6 (1) (2020)
https://doi.org/10.1007/s41115-020-0008-5
Modeling the Lyα transit absorption of the hot Jupiter HD 189733b
P. Odert, N. V. Erkaev, K. G. Kislyakova, et al.Astronomy & Astrophysics 638 A49 (2020)
https://doi.org/10.1051/0004-6361/201834814
Well-balanced finite volume schemes for nearly steady adiabatic flows
L. Grosheintz-Laval and R. KäppeliJournal of Computational Physics 423 109805 (2020)
https://doi.org/10.1016/j.jcp.2020.109805
Hydrodynamic Escape of Water Vapor Atmospheres near Very Active Stars
C. P. JohnstoneThe Astrophysical Journal 890 (1) 79 (2020)
https://doi.org/10.3847/1538-4357/ab6224
Improved Coupling of Hydrodynamics and Nuclear Reactions via Spectral Deferred Corrections
M. Zingale, M. P. Katz, J. B. Bell, M. L. Minion, A. J. Nonaka and W. ZhangThe Astrophysical Journal 886 (2) 105 (2019)
https://doi.org/10.3847/1538-4357/ab4e1d
Simulating Nonhydrostatic Atmospheres on Planets (SNAP): Formulation, Validation, and Application to the Jovian Atmosphere
Cheng Li and Xi ChenThe Astrophysical Journal Supplement Series 240 (2) 37 (2019)
https://doi.org/10.3847/1538-4365/aafdaa
Arbitrary Order Finite Volume Well-Balanced Schemes for the Euler Equations with Gravity
C. Klingenberg, G. Puppo and M. SempliceSIAM Journal on Scientific Computing 41 (2) A695 (2019)
https://doi.org/10.1137/18M1196704
High-order well-balanced finite volume schemes for the Euler equations with gravitation
L. Grosheintz-Laval and R. KäppeliJournal of Computational Physics 378 324 (2019)
https://doi.org/10.1016/j.jcp.2018.11.018
A well-balanced scheme for the simulation tool-kit A-MaZe: implementation, tests, and first applications to stellar structure
M. V. Popov, R. Walder, D. Folini, et al.Astronomy & Astrophysics 630 A129 (2019)
https://doi.org/10.1051/0004-6361/201834180
Hydrostatic equilibrium preservation in MHD numerical simulation with stratified atmospheres
G. KrauseAstronomy & Astrophysics 631 A68 (2019)
https://doi.org/10.1051/0004-6361/201936387
A second‐order positivity‐preserving well‐balanced finite volume scheme for Euler equations with gravity for arbitrary hydrostatic equilibria
Andrea Thomann, Markus Zenk and Christian KlingenbergInternational Journal for Numerical Methods in Fluids 89 (11) 465 (2019)
https://doi.org/10.1002/fld.4703
Toward Resolved Simulations of Burning Fronts in Thermonuclear X-ray Bursts
M. Zingale, K. Eiden, Y. Cavecchi, et al.Journal of Physics: Conference Series 1225 (1) 012005 (2019)
https://doi.org/10.1088/1742-6596/1225/1/012005
A second-order, discretely well-balanced finite volume scheme for euler equations with gravity
Deepak Varma and Praveen ChandrashekarComputers & Fluids 181 292 (2019)
https://doi.org/10.1016/j.compfluid.2019.02.003
Are CMEs capable of producing Moreton waves? A case study: the 2006 December 6 event
G. Krause, M. Cécere, E. Zurbriggen, et al.Monthly Notices of the Royal Astronomical Society 474 (1) 770 (2018)
https://doi.org/10.1093/mnras/stx2817
Well-balanced finite difference weighted essentially non-oscillatory schemes for the Euler equations with static gravitational fields
Gang Li and Yulong XingComputers & Mathematics with Applications 75 (6) 2071 (2018)
https://doi.org/10.1016/j.camwa.2017.10.015
Well-balanced discontinuous Galerkin methods with hydrostatic reconstruction for the Euler equations with gravitation
Gang Li and Yulong XingJournal of Computational Physics 352 445 (2018)
https://doi.org/10.1016/j.jcp.2017.09.063
Non-linear hydrodynamic instability and turbulence in eccentric astrophysical discs with vertical structure
A F Wienkers and G I OgilvieMonthly Notices of the Royal Astronomical Society 477 (4) 4838 (2018)
https://doi.org/10.1093/mnras/sty899
High order well-balanced discontinuous Galerkin methods for Euler equations at isentropic equilibrium state under gravitational fields
Shouguo Qian, Yu Liu, Gang Li and Li YuanApplied Mathematics and Computation 329 23 (2018)
https://doi.org/10.1016/j.amc.2018.01.059
Well-balanced schemes for the Euler equations with gravitation: Conservative formulation using global fluxes
Alina Chertock, Shumo Cui, Alexander Kurganov, Şeyma Nur Özcan and Eitan TadmorJournal of Computational Physics 358 36 (2018)
https://doi.org/10.1016/j.jcp.2017.12.026
Well-balanced Arbitrary-Lagrangian-Eulerian finite volume schemes on moving nonconforming meshes for the Euler equations of gas dynamics with gravity
Elena Gaburro, Manuel J Castro and Michael DumbserMonthly Notices of the Royal Astronomical Society 477 (2) 2251 (2018)
https://doi.org/10.1093/mnras/sty542
Higher-order accurate space-time schemes for computational astrophysics—Part I: finite volume methods
Dinshaw S. BalsaraLiving Reviews in Computational Astrophysics 3 (1) (2017)
https://doi.org/10.1007/s41115-017-0002-8
Benchmarking the Multidimensional Stellar Implicit Code MUSIC
T. Goffrey, J. Pratt, M. Viallet, et al.Astronomy & Astrophysics 600 A7 (2017)
https://doi.org/10.1051/0004-6361/201628960
Innovative Algorithms and Analysis
Roger KäppeliSpringer INdAM Series, Innovative Algorithms and Analysis 16 229 (2017)
https://doi.org/10.1007/978-3-319-49262-9_8
Riemann solvers and Alfven waves in black hole magnetospheres
Brian Punsly, Dinshaw Balsara, Jinho Kim and Sudip GarainComputational Astrophysics and Cosmology 3 (1) (2016)
https://doi.org/10.1186/s40668-016-0018-1
High order finite volume WENO schemes for the Euler equations under gravitational fields
Gang Li and Yulong XingJournal of Computational Physics (2016)
https://doi.org/10.1016/j.jcp.2016.04.015
AN ADVANCED LEAKAGE SCHEME FOR NEUTRINO TREATMENT IN ASTROPHYSICAL SIMULATIONS
A. Perego, R. M. Cabezón and R. KäppeliThe Astrophysical Journal Supplement Series 223 (2) 22 (2016)
https://doi.org/10.3847/0067-0049/223/2/22