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Theory and applications of smoothed particle hydrodynamics. (English) Zbl 1160.76399
Blowey, James F. (ed.) et al., Frontiers of numerical analysis. Durham 2004. Written contributions of the 11th LMS-EPSRC computational mathematics and scientific computing summer scholl, Durham, UK, July 4–9, 2004. Berlin: Springer (ISBN 3-540-23921-9/pbk). Universitext, 143-194 (2005).
From the text: This is one of the several review articles the author has written on the theory and applications of smooth particle hydrodynamics (SPH). The topics reviewed include: integral and summation interpolants, SPH Euler equations, Lagrangian SPH, SPH heat conduction, viscosity, and applications to shock and rarefaction problems. The paper contains exercises and some numerical simulations.
76M28Particle methods and lattice-gas methods (fluid mechanics)
65M99Numerical methods for IVP of PDE
76N99Compressible fluids and gas dynamics, general