FSISPH: An SPH formulation for impacts between dissimilar materials

Pearl, Jason M.; Raskin, Cody D.; Michael Owen, J.

doi:10.1016/j.jcp.2022.111533

FSISPH: An SPH formulation for impacts between dissimilar materials

Journal Article · Fri Aug 12 00:00:00 EDT 2022 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2022.111533· OSTI ID:1888099

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

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

Here, we present an SPH formulation with several new features designed to better model the fully-compressible interaction of dissimilar materials. We developed the new method to simulate the atmospheric entry and break-up of small celestial bodies in planetary atmospheres. The formulation uses a unity-based, density-energy discretization of the hydrodynamic conservation laws with linear-corrected kernel gradients. To account for variations in compressibility, we use an HLLC approximate Riemann solver to adjust the velocity gradient at material interfaces. To handle large transverse velocity discontinuities, we introduce a simple slip interface model that limits the artificial viscosity at material interfaces. Diffusion is optionally applied through the velocity gradient and this allows the density and specific thermal energy to evolve in a manner more consistent with the first law of thermodynamics in comparison to other more direct diffusion schemes. We also introduce a material-local second-order artificial conduction scheme used to smooth the specific thermal energy field. Material damage fits neatly under this framework by treating the damage front as a material interface. The method has been implemented as a solver, FSISPH, within the code, Spheral++, and is publicly available on github. We test our new solver on a number of classic shock, mixing, and multi-material problem. The components we outline can significantly improve accuracy of SPH for problems with sharp contact discontinuities.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-07NA27344

OSTI ID:: 1888099

Report Number(s):: LLNL-JRNL-831263; 1047464

Journal Information:: Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: N/A Vol. 469; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

References (87)

Moving-least-squares-particle hydrodynamics?I. Consistency and stability Dilts, Gary A. International Journal for Numerical Methods in Engineering, Vol. 44, Issue 8 https://doi.org/10.1002/(SICI)1097-0207(19990320)44:8<1115::AID-NME547>3.0.CO;2-L	journal	March 1999
Moving least-squares particle hydrodynamics II: conservation and boundaries Dilts, Gary A. International Journal for Numerical Methods in Engineering, Vol. 48, Issue 10 https://doi.org/10.1002/1097-0207(20000810)48:10<1503::AID-NME832>3.0.CO;2-D	journal	January 2000
Simulating surface tension with smoothed particle hydrodynamics Morris, Joseph P. International Journal for Numerical Methods in Fluids, Vol. 33, Issue 3 https://doi.org/10.1002/1097-0363(20000615)33:3<333::AID-FLD11>3.0.CO;2-7	journal	January 2000
A compatibly differenced total energy conserving form of SPH: A COMPATIBLY DIFFERENCED TOTAL ENERGY CONSERVING FORM OF SPH Michael Owen, J. International Journal for Numerical Methods in Fluids, Vol. 75, Issue 11 https://doi.org/10.1002/fld.3912	journal	April 2014
An improved SPH model for multiphase flows with large density ratios Zhu, G. X.; Zou, L.; Chen, Z. International Journal for Numerical Methods in Fluids, Vol. 86, Issue 2 https://doi.org/10.1002/fld.4412	journal	July 2017
Impact Simulations with Fracture. I. Method and Tests Benz, W.; Asphaug, E. Icarus, Vol. 107, Issue 1 https://doi.org/10.1006/icar.1994.1009	journal	January 1994
Smoothed Particle Hydrodynamics Stability Analysis Swegle, J. W.; Hicks, D. L.; Attaway, S. W. Journal of Computational Physics, Vol. 116, Issue 1 https://doi.org/10.1006/jcph.1995.1010	journal	January 1995
SPH without a Tensile Instability Monaghan, J. J. Journal of Computational Physics, Vol. 159, Issue 2 https://doi.org/10.1006/jcph.2000.6439	journal	April 2000
Computations of Compressible Multifluids Abgrall, Rémi; Karni, Smadar Journal of Computational Physics, Vol. 169, Issue 2 https://doi.org/10.1006/jcph.2000.6685	journal	May 2001
Reformulation of Smoothed Particle Hydrodynamics with Riemann Solver Inutsuka, Shu-ichiro Journal of Computational Physics, Vol. 179, Issue 1 https://doi.org/10.1006/jcph.2002.7053	journal	June 2002
Smoothed Particle Hydrodynamics Using Interparticle Contact Algorithms Parshikov, Anatoly N.; Medin, Stanislav A. Journal of Computational Physics, Vol. 180, Issue 1 https://doi.org/10.1006/jcph.2002.7099	journal	July 2002
Restoration of the contact surface in the HLL-Riemann solver Toro, E. F.; Spruce, M.; Speares, W. Shock Waves, Vol. 4, Issue 1 https://doi.org/10.1007/BF01414629	journal	July 1994
Flow visualization of shock/water column interactions Chen, H.; Liang, S. M. Shock Waves, Vol. 17, Issue 5 https://doi.org/10.1007/s00193-007-0115-9	journal	November 2007
CWENO Finite-Volume Interface Capturing Schemes for Multicomponent Flows Using Unstructured Meshes Tsoutsanis, Panagiotis; Adebayo, Ebenezer Mayowa; Merino, Adrian Carriba Journal of Scientific Computing, Vol. 89, Issue 3 https://doi.org/10.1007/s10915-021-01673-y	journal	November 2021
An introduction to SPH Monaghan, J. J. Computer Physics Communications, Vol. 48, Issue 1 https://doi.org/10.1016/0010-4655(88)90026-4	journal	January 1988
Simulations of brittle solids using smooth particle hydrodynamics Benz, W.; Asphaug, E. Computer Physics Communications, Vol. 87, Issue 1-2 https://doi.org/10.1016/0010-4655(94)00176-3	journal	May 1995
A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws Sod, Gary A. Journal of Computational Physics, Vol. 27, Issue 1 https://doi.org/10.1016/0021-9991(78)90023-2	journal	April 1978
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method van Leer, Bram Journal of Computational Physics, Vol. 32, Issue 1 https://doi.org/10.1016/0021-9991(79)90145-1	journal	July 1979
Shock simulation by the particle method SPH Monaghan, J. J.; Gingold, R. A. Journal of Computational Physics, Vol. 52, Issue 2 https://doi.org/10.1016/0021-9991(83)90036-0	journal	November 1983
Errors for calculations of strong shocks using an artificial viscosity and an artificial heat flux Noh, W. F. Journal of Computational Physics, Vol. 72, Issue 1 https://doi.org/10.1016/0021-9991(87)90074-X	journal	September 1987
On the problem of penetration in particle methods Monaghan, J. J. Journal of Computational Physics, Vol. 82, Issue 1 https://doi.org/10.1016/0021-9991(89)90032-6	journal	May 1989
Continuum modelling of explosive fracture in oil shale Grady, D. E.; Kipp, M. E. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Vol. 17, Issue 3 https://doi.org/10.1016/0148-9062(80)91361-3	journal	June 1980
Numerical simulation of interfacial flows by smoothed particle hydrodynamics Colagrossi, Andrea; Landrini, Maurizio Journal of Computational Physics, Vol. 191, Issue 2 https://doi.org/10.1016/S0021-9991(03)00324-3	journal	November 2003
Smoothed Particle Hydrodynamics: Some recent improvements and applications Randles, P. W.; Libersky, L. D. Computer Methods in Applied Mechanics and Engineering, Vol. 139, Issue 1-4 https://doi.org/10.1016/S0045-7825(96)01090-0	journal	December 1996
Improvements in SPH method by means of interparticle contact algorithm and analysis of perforation tests at moderate projectile velocities Parshikov, Anatoly N.; Medin, Stanislav A.; Loukashenko, Igor I. International Journal of Impact Engineering, Vol. 24, Issue 8 https://doi.org/10.1016/S0734-743X(99)00168-2	journal	September 2000
An overview of smoothed particle hydrodynamics for simulating multiphase flow Wang, Zhi-Bin; Chen, Rong; Wang, Hong Applied Mathematical Modelling, Vol. 40, Issue 23-24 https://doi.org/10.1016/j.apm.2016.06.030	journal	December 2016
Particle methods in ocean and coastal engineering Luo, Min; Khayyer, Abbas; Lin, Pengzhi Applied Ocean Research, Vol. 114 https://doi.org/10.1016/j.apor.2021.102734	journal	September 2021
A shock-capturing scheme with a novel limiter for compressible flows solved by smoothed particle hydrodynamics Meng, Zi-Fei; Zhang, A-Man; Wang, Ping-Ping Computer Methods in Applied Mechanics and Engineering, Vol. 386 https://doi.org/10.1016/j.cma.2021.114082	journal	December 2021
Numerical modeling of water waves with the SPH method Dalrymple, R. A.; Rogers, B. D. Coastal Engineering, Vol. 53, Issue 2-3 https://doi.org/10.1016/j.coastaleng.2005.10.004	journal	February 2006
A simple procedure to improve the pressure evaluation in hydrodynamic context using the SPH Molteni, Diego; Colagrossi, Andrea Computer Physics Communications, Vol. 180, Issue 6 https://doi.org/10.1016/j.cpc.2008.12.004	journal	June 2009
Multi-resolution Delta-plus-SPH with tensile instability control: Towards high Reynolds number flows Sun, P. N.; Colagrossi, A.; Marrone, S. Computer Physics Communications, Vol. 224 https://doi.org/10.1016/j.cpc.2017.11.016	journal	March 2018
Smoothed particle hydrodynamics with kernel gradient correction for modeling high velocity impact in two- and three-dimensional spaces Zhang, Z. L.; Liu, M. B. Engineering Analysis with Boundary Elements, Vol. 83 https://doi.org/10.1016/j.enganabound.2017.07.015	journal	October 2017
A study of crack initiation and source mechanism in the Brazilian test based on moment tensor Sun, Wei; Wu, Shunchuan Engineering Fracture Mechanics, Vol. 246 https://doi.org/10.1016/j.engfracmech.2021.107622	journal	April 2021
Improvements to the ɛ-α porous compaction model for simulating impacts into high-porosity solar system objects Collins, G. S.; Melosh, H. J.; Wünnemann, K. International Journal of Impact Engineering, Vol. 38, Issue 6 https://doi.org/10.1016/j.ijimpeng.2010.10.013	journal	June 2011
An incremental-stencil WENO reconstruction for simulation of compressible two-phase flows Wang, Bing; Xiang, Gaoming; Hu, Xiangyu Y. International Journal of Multiphase Flow, Vol. 104 https://doi.org/10.1016/j.ijmultiphaseflow.2018.03.013	journal	July 2018
Homogeneous mixture model simulation of compressible multi-phase flows at all Mach number Yoo, Young-Lin; Kim, Jong-Chan; Sung, Hong-Gye International Journal of Multiphase Flow, Vol. 143 https://doi.org/10.1016/j.ijmultiphaseflow.2021.103745	journal	October 2021
High velocity impact of metal sphere on thin metallic plates: A comparative smooth particle hydrodynamics study Mehra, Vishal; Chaturvedi, Shashank Journal of Computational Physics, Vol. 212, Issue 1 https://doi.org/10.1016/j.jcp.2005.06.020	journal	February 2006
A multi-phase SPH method for macroscopic and mesoscopic flows Hu, X. Y.; Adams, N. A. Journal of Computational Physics, Vol. 213, Issue 2 https://doi.org/10.1016/j.jcp.2005.09.001	journal	April 2006
An incompressible multi-phase SPH method Hu, X. Y.; Adams, N. A. Journal of Computational Physics, Vol. 227, Issue 1 https://doi.org/10.1016/j.jcp.2007.07.013	journal	November 2007
Modelling discontinuities and Kelvin–Helmholtz instabilities in SPH Price, Daniel J. Journal of Computational Physics, Vol. 227, Issue 24 https://doi.org/10.1016/j.jcp.2008.08.011	journal	December 2008
An Hamiltonian interface SPH formulation for multi-fluid and free surface flows Grenier, N.; Antuono, M.; Colagrossi, A. Journal of Computational Physics, Vol. 228, Issue 22 https://doi.org/10.1016/j.jcp.2009.08.009	journal	December 2009
Smoothed particle hydrodynamics and magnetohydrodynamics Price, Daniel J. Journal of Computational Physics, Vol. 231, Issue 3 https://doi.org/10.1016/j.jcp.2010.12.011	journal	February 2012
An SPH model for multiphase flows with complex interfaces and large density differences Chen, Z.; Zong, Z.; Liu, M. B. Journal of Computational Physics, Vol. 283 https://doi.org/10.1016/j.jcp.2014.11.037	journal	February 2015
An extension of Godunov SPH: Application to negative pressure media Sugiura, Keisuke; Inutsuka, Shu-ichiro Journal of Computational Physics, Vol. 308 https://doi.org/10.1016/j.jcp.2015.12.030	journal	March 2016
CRKSPH – A Conservative Reproducing Kernel Smoothed Particle Hydrodynamics Scheme Frontiere, Nicholas; Raskin, Cody D.; Owen, J. Michael Journal of Computational Physics, Vol. 332 https://doi.org/10.1016/j.jcp.2016.12.004	journal	March 2017
An extension of Godunov SPH II: Application to elastic dynamics Sugiura, Keisuke; Inutsuka, Shu-ichiro Journal of Computational Physics, Vol. 333 https://doi.org/10.1016/j.jcp.2016.12.026	journal	March 2017
A positivity-preserving high-order weighted compact nonlinear scheme for compressible gas-liquid flows Wong, Man Long; Angel, Jordan B.; Barad, Michael F. Journal of Computational Physics, Vol. 444 https://doi.org/10.1016/j.jcp.2021.110569	journal	November 2021
An accurate FSI-SPH modeling of challenging fluid-structure interaction problems in two and three dimensions Sun, Peng-Nan; Le Touzé, David; Oger, Guillaume Ocean Engineering, Vol. 221 https://doi.org/10.1016/j.oceaneng.2020.108552	journal	February 2021
Tensile strength and fracture energy of pressed metal powder by diametral compression test Jonsén, P.; Häggblad, H. -Å.; Sommer, K. Powder Technology, Vol. 176, Issue 2-3 https://doi.org/10.1016/j.powtec.2007.02.030	journal	July 2007
Numerical study of a planar shock interacting with a cylindrical water column embedded with an air cavity Xiang, Gaoming; Wang, Bing Journal of Fluid Mechanics, Vol. 825 https://doi.org/10.1017/jfm.2017.403	journal	July 2017
Phantom : A Smoothed Particle Hydrodynamics and Magnetohydrodynamics Code for Astrophysics Price, Daniel J.; Wurster, James; Tricco, Terrence S. Publications of the Astronomical Society of Australia, Vol. 35 https://doi.org/10.1017/pasa.2018.25	journal	January 2018
Numerical Simulations of Laboratory‐Scale, Hypervelocity‐Impact Experiments for Asteroid‐Deflection Code Validation Remington, T. P.; Owen, J. M.; Nakamura, A. M. Earth and Space Science, Vol. 7, Issue 4 https://doi.org/10.1029/2018EA000474	journal	March 2020
Multiphase smoothed-particle hydrodynamics Ritchie, B. W.; Thomas, P. A. Monthly Notices of the Royal Astronomical Society, Vol. 323, Issue 3 https://doi.org/10.1046/j.1365-8711.2001.04268.x	journal	May 2001
Cosmological smoothed particle hydrodynamics simulations: a hybrid multiphase model for star formation Springel, V.; Hernquist, L. Monthly Notices of the Royal Astronomical Society, Vol. 339, Issue 2 https://doi.org/10.1046/j.1365-8711.2003.06206.x	journal	February 2003
Implementations and tests of Godunov-type particle hydrodynamics Cha, S. - H.; Whitworth, A. P. Monthly Notices of the Royal Astronomical Society, Vol. 340, Issue 1 https://doi.org/10.1046/j.1365-8711.2003.06266.x	journal	March 2003
Instrumented Taylor anvil-on-rod impact tests for validating applicability of standard strength models to transient deformation states Eakins, D. E.; Thadhani, N. N. Journal of Applied Physics, Vol. 100, Issue 7 https://doi.org/10.1063/1.2354326	journal	October 2006
A constitutive model for metals applicable at high‐strain rate Steinberg, D. J.; Cochran, S. G.; Guinan, M. W. Journal of Applied Physics, Vol. 51, Issue 3 https://doi.org/10.1063/1.327799	journal	March 1980
Plane shock wave interaction with a cylindrical water column Sembian, S.; Liverts, M.; Tillmark, N. Physics of Fluids, Vol. 28, Issue 5 https://doi.org/10.1063/1.4948274	journal	May 2016
Explicit failure model for boron carbide ceramics under shock loading Dyachkov, S. A.; Parshikov, A. N.; Egorova, M. S. Journal of Applied Physics, Vol. 124, Issue 8 https://doi.org/10.1063/1.5043418	journal	August 2018
On different calculation formulas of the pressure term in bi-phase SPH simulations Chen, Shuai; Niu, Wei AIP Advances, Vol. 8, Issue 10 https://doi.org/10.1063/1.5052504	journal	October 2018
Smoothed particle hydrodynamics simulation of converging Richtmyer–Meshkov instability Huang, Shenghong; Xu, Jianyu; Luo, Yifan Physics of Fluids, Vol. 32, Issue 8 https://doi.org/10.1063/5.0015589	journal	August 2020
A numerical approach to the testing of the fission hypothesis Lucy, L. B. The Astronomical Journal, Vol. 82 https://doi.org/10.1086/112164	journal	December 1977
Adaptive Smoothed Particle Hydrodynamics, with Application to Cosmology: Methodology Shapiro, Paul R.; Martel, Hugo; Villumsen, Jens V. The Astrophysical Journal Supplement Series, Vol. 103 https://doi.org/10.1086/192279	journal	March 1996
Adaptive Smoothed Particle Hydrodynamics: Methodology. II. Owen, J. Michael; Villumsen, Jens V.; Shapiro, Paul R. The Astrophysical Journal Supplement Series, Vol. 116, Issue 2 https://doi.org/10.1086/313100	journal	June 1998
A Density-Independent Formulation of Smoothed Particle Hydrodynamics Saitoh, Takayuki R.; Makino, Junichiro The Astrophysical Journal, Vol. 768, Issue 1 https://doi.org/10.1088/0004-637X/768/1/44	journal	April 2013
Smoothed particle hydrodynamics Monaghan, J. J. Reports on Progress in Physics, Vol. 68, Issue 8 https://doi.org/10.1088/0034-4885/68/8/R01	journal	July 2005
A Well-Posed Kelvin-Helmholtz Instability test and Comparison McNally, Colin P.; Lyra, Wladimir; Passy, Jean-Claude The Astrophysical Journal Supplement Series, Vol. 201, Issue 2 https://doi.org/10.1088/0067-0049/201/2/18	journal	June 2012
Smoothed particle hydrodynamics: theory and application to non-spherical stars Gingold, R. A.; Monaghan, J. J. Monthly Notices of the Royal Astronomical Society, Vol. 181, Issue 3 https://doi.org/10.1093/mnras/181.3.375	journal	December 1977
The Lagrangian hydrodynamics code magma2 Rosswog, S. Monthly Notices of the Royal Astronomical Society, Vol. 498, Issue 3 https://doi.org/10.1093/mnras/staa2591	journal	August 2020
A general class of Lagrangian smoothed particle hydrodynamics methods and implications for fluid mixing problems Hopkins, Philip F. Monthly Notices of the Royal Astronomical Society, Vol. 428, Issue 4 https://doi.org/10.1093/mnras/sts210	journal	November 2012
SPHGal: smoothed particle hydrodynamics with improved accuracy for galaxy simulations Hu, Chia-Yu; Naab, Thorsten; Walch, Stefanie Monthly Notices of the Royal Astronomical Society, Vol. 443, Issue 2 https://doi.org/10.1093/mnras/stu1187	journal	July 2014
A new class of accurate, mesh-free hydrodynamic simulation methods Hopkins, Philip F. Monthly Notices of the Royal Astronomical Society, Vol. 450, Issue 1 https://doi.org/10.1093/mnras/stv195	journal	April 2015
Gasoline2: a modern smoothed particle hydrodynamics code Wadsley, James W.; Keller, Benjamin W.; Quinn, Thomas R. Monthly Notices of the Royal Astronomical Society, Vol. 471, Issue 2 https://doi.org/10.1093/mnras/stx1643	journal	June 2017
Formation of eccentric gas discs from sublimating or partially disrupted asteroids orbiting white dwarfs Trevascus, David; Price, Daniel J.; Nealon, Rebecca Monthly Notices of the Royal Astronomical Society: Letters, Vol. 505, Issue 1 https://doi.org/10.1093/mnrasl/slab043	journal	May 2021
Density-Independent Smoothed Particle Hydrodynamics for a Non-Ideal Equation of State Hosono, Natsuki; Saitoh, Takayuki R.; Makino, Junichiro Publications of the Astronomical Society of Japan, Vol. 65, Issue 5 https://doi.org/10.1093/pasj/65.5.108	journal	October 2013
Fundamental differences between SPH and grid methods: Simulating fluids using SPH and grid techniques Agertz, Oscar; Moore, Ben; Stadel, Joachim Monthly Notices of the Royal Astronomical Society, Vol. 380, Issue 3 https://doi.org/10.1111/j.1365-2966.2007.12183.x	journal	August 2007
E pur si muove: Galilean-invariant cosmological hydrodynamical simulations on a moving mesh Springel, Volker Monthly Notices of the Royal Astronomical Society, Vol. 401, Issue 2 https://doi.org/10.1111/j.1365-2966.2009.15715.x	journal	January 2010
Kelvin-Helmholtz instabilities with Godunov smoothed particle hydrodynamics Cha, Seung-Hoon; Inutsuka, Shu-Ichiro; Nayakshin, Sergei Monthly Notices of the Royal Astronomical Society, Vol. 403, Issue 3 https://doi.org/10.1111/j.1365-2966.2010.16200.x	journal	April 2010
Hydrodynamic simulations with the Godunov smoothed particle hydrodynamics Murante, G.; Borgani, S.; Brunino, R. Monthly Notices of the Royal Astronomical Society, Vol. 417, Issue 1 https://doi.org/10.1111/j.1365-2966.2011.19021.x	journal	September 2011
Smoothed particle magnetohydrodynamics with a Riemann solver and the method of characteristics Iwasaki, Kazunari; Inutsuka, Shu-ichiro Monthly Notices of the Royal Astronomical Society, Vol. 418, Issue 3 https://doi.org/10.1111/j.1365-2966.2011.19588.x	journal	November 2011
Improving convergence in smoothed particle hydrodynamics simulations without pairing instability: SPH without pairing instability Dehnen, Walter; Aly, Hossam Monthly Notices of the Royal Astronomical Society, Vol. 425, Issue 2 https://doi.org/10.1111/j.1365-2966.2012.21439.x	journal	August 2012
Chelyabinsk Airburst, Damage Assessment, Meteorite Recovery, and Characterization Popova, O. P.; Jenniskens, P.; Emel'yanenko, V. Science, Vol. 342, Issue 6162 https://doi.org/10.1126/science.1242642	journal	November 2013
Simulation of Stationary Shock Waves in Porous Copper with Smoothed Particle Hydrodynamics Murzov, S. A.; Parshikov, A. N.; D’yachkov, S. A. High Temperature, Vol. 59, Issue 2-6 https://doi.org/10.1134/S0018151X21020097	journal	March 2021
Smoothed Particle Hydrodynamics in Astrophysics Springel, Volker Annual Review of Astronomy and Astrophysics, Vol. 48, Issue 1 https://doi.org/10.1146/annurev-astro-081309-130914	journal	August 2010
Smoothed Particle Hydrodynamics Monaghan, J. J. Annual Review of Astronomy and Astrophysics, Vol. 30, Issue 1 https://doi.org/10.1146/annurev.aa.30.090192.002551	journal	September 1992
An SPH framework for fluid–solid and contact interaction problems including thermo-mechanical coupling and reversible phase transitions Fuchs, Sebastian L.; Meier, Christoph; Wall, Wolfgang A. Advanced Modeling and Simulation in Engineering Sciences, Vol. 8, Issue 1 https://doi.org/10.1186/s40323-021-00200-w	journal	June 2021
A Contact SPH Method with High-Order Limiters for Simulation of Inviscid Compressible Flows Zhang, Xueying; Tian, Haiyan; Kuo, Leihsin Communications in Computational Physics, Vol. 14, Issue 2 https://doi.org/10.4208/cicp.141211.260912a	journal	August 2013

Similar Records

IMPROVED PERFORMANCES IN SUBSONIC FLOWS OF AN SPH SCHEME WITH GRADIENTS ESTIMATED USING AN INTEGRAL APPROACH

Journal Article · Tue Nov 01 00:00:00 EDT 2016 · Astrophysical Journal · OSTI ID:22667245

A Shock Stabilization of the HLLC Riemann Solver for the Carbuncle Instability

Journal Article · Tue Jan 02 23:00:00 EST 2024 · Journal of Scientific Computing · OSTI ID:2282536

A comparison of SPH artificial viscosities and their impact on the Keplerian disk

Journal Article · Wed Jun 01 00:00:00 EDT 2016 · Astrophysical Journal, Supplement Series · OSTI ID:22872495

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
97 MATHEMATICS AND COMPUTING
fluid-solid interaction
hydrodynamic instabilities
multi-material
smoothed particle hydrodynamics

FSISPH: An SPH formulation for impacts between dissimilar materials

Citation Formats

References (87)

Similar Records

Related Subjects