Smoothed particle hydrodynamics

In this review the theory and application of Smoothed particle hydrodynamics (SPH) since its inception in 1977 are discussed. Emphasis is placed on the strengths and weaknesses, the analogy with particle dynamics and the numerous areas where SPH has been successfully applied.

[1]  W. Benz.  Smooth Particle Hydrodynamics: A Review , 1990 .

[2]  A. A. Amsden,et al.  Relativistic two-fluid model of nucleus-nucleus collisions , 1978 .

[3]  M. E. Kipp,et al.  10 – DYNAMIC ROCK FRAGMENTATION , 1987 .

[4]  P. J. Mann.  A relativistic smoothed particle hydrodynamics method tested with the shock tube , 1991 .

[5]  Hiscock,et al.  Generic instabilities in first-order dissipative relativistic fluid theories. , 1985, Physical review. D, Particles and fields.

[6]  J. Quirk.  A Contribution to the Great Riemann Solver Debate , 1994 .

[7]  J. Monaghan.  Particle methods for hydrodynamics , 1985 .

[8]  G. J. Phillips,et al.  A numerical method for three-dimensional simulations of collapsing, isothermal, magnetic gas clouds , 1985 .

[9]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[10]  David G. Kendall,et al.  Spline Transformations: Three New Diagnostic Aids for the Statistical Data‐Analyst , 1971 .

[11]  W. Mccrea.  An Introduction to the Study of Stellar Structure , 1939, Nature.

[12]  M. E. Kipp,et al.  Continuum modelling of explosive fracture in oil shale , 1980 .

[13]  Olson,et al.  Stability, causality, and hyperbolicity in Carter's "regular" theory of relativistic heat-conducting fluids. , 1990, Physical review. D, Particles and fields.

[14]  J. Monaghan,et al.  Shock simulation by the particle method SPH , 1983 .

[15]  M. Rosenblatt.  Remarks on Some Nonparametric Estimates of a Density Function , 1956 .

[16]  T. N. Stevenson,et al.  Fluid Mechanics , 2021, Nature.

[17]  J. Monaghan.  Simulating Free Surface Flows with SPH , 1994 .

[18]  A. Tielens.  Surface chemistry of deuterated molecules , 1983 .

[19]  E. Hewitt,et al.  Theory of functions of a real variable , 1960 .

[20]  Warner A. Miller,et al.  Smoothed Particle Hydrodynamics near a Black Hole , 1993 .

[21]  J. Monaghan,et al.  Binary fission in damped rotating polytropes , 1978 .

[22]  E. Müller,et al.  On the capabilities and limits of smoothed particle hydrodynamics , 1993 .

[23]  Joseph John Monaghan,et al.  The Roche problem for polytropes in central orbits , 1980 .

[24]  G. Sod.  A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws , 1978 .

[25]  J. Monaghan,et al.  Interstellar cloud collisions , 1985 .

[26]  P. Roe,et al.  On Godunov-type methods near low densities , 1991 .

[27]  Larry D. Libersky,et al.  Smooth particle hydrodynamics with strength of materials , 1991 .

[28]  R W Hockney,et al.  Computer Simulation Using Particles , 1966 .

[29]  J. Monaghan,et al.  Extrapolating B splines for interpolation , 1985 .

[30]  I. J. Schoenberg.  Contributions to the problem of approximation of equidistant data by analytic functions. Part A. On the problem of smoothing or graduation. A first class of analytic approximation formulae , 1946 .

[31]  J. C. Jaeger,et al.  Conduction of Heat in Solids , 1952 .

[32]  J. Monaghan,et al.  Kernel estimates as a basis for general particle methods in hydrodynamics , 1982 .

[33]  J. Monaghan,et al.  A simulation of the collapse and fragmentation of cooling molecular clouds , 1991 .

[34]  P. Woodward,et al.  The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .

[35]  L. Lucy.  A numerical approach to the testing of the fission hypothesis. , 1977 .

[36]  F. K. Ball,et al.  Some general theorems concerning the finite motion of a shallow rotating liquid lying on a paraboloid , 1963, Journal of Fluid Mechanics.

[37]  Richard Phillips Feynman,et al.  Chapter II Application of Quantum Mechanics to Liquid Helium , 1955 .

[38]  R. D. Richtmyer,et al.  Difference methods for initial-value problems , 1959 .

[39]  F. Pearce,et al.  Hydra: An Adaptive--Mesh Implementation of PPPM--SPH , 1994 .

[40]  S. Miyama,et al.  Numerical Simulation of Viscous Flow by Smoothed Particle Hydrodynamics , 1994 .

[41]  Jean Peterson.  4.0 , 1992 .

[42]  Thomas W. Roberts,et al.  The behavior of flux difference splitting schemes near slowly moving shock waves , 1990 .

[43]  H. M. P. Couchman,et al.  Simulating the formation of a cluster of galaxies , 1992 .

[44]  F. Pearce,et al.  Hydra: an Adaptive{mesh Implementation of P 3 M{sph , 1994 .

[45]  A numerical study of the Roche and Darwin problems for polytropic stars , 1979 .

[46]  Darryl D. Holm.  Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations , 1991, Journal of Fluid Mechanics.

[47]  J. Monaghan.  On the problem of penetration in particle methods , 1989 .

[48]  Toshikazu Ebisuzaki,et al.  A special-purpose computer for gravitational many-body problems , 1990, Nature.

[49]  H. Melosh,et al.  The origin of the moon and the single-impact hypothesis III. , 1991, Icarus.

[50]  Carl Eckart,et al.  The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid , 1940 .

[51]  L. Brookshaw,et al.  A Method of Calculating Radiative Heat Diffusion in Particle Simulations , 1985, Publications of the Astronomical Society of Australia.

[52]  I. J. Schoenberg.  Contributions to the Problem of Approximation of Equidistant Data by Analytic Functions , 1988 .

[53]  E. Parzen.  On Estimation of a Probability Density Function and Mode , 1962 .

[54]  S. Lubow,et al.  Dynamics of binary-disk interaction. 1: Resonances and disk gap sizes , 1994 .

[55]  Carl Eckart,et al.  Variation Principles of Hydrodynamics , 1960 .

[56]  A. D. Young,et al.  An Introduction to Fluid Mechanics , 1968 .

[57]  Erik Asphaug,et al.  Impact Simulations with Fracture. I. Method and Tests , 1994 .

[58]  L. Hernquist,et al.  TREESPH: A Unification of SPH with the Hierarchical Tree Method , 1989 .