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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.
MSC:
76M28Particle methods and lattice-gas methods (fluid mechanics)
65M99Numerical methods for IVP of PDE
76N99Compressible fluids and gas dynamics, general