Lagrangian Solid Modeling
by Matthew Marko
Publisher: viXra 2017
Number of pages: 114
The author demonstrates a stable Lagrangian solid modeling method, tracking the interactions of solid mass particles, rather than using a meshed grid. This numerical method avoids the problem of tensile instability often seen with Smooth Particle Applied Mechanics by having the solid particles apply stresses expected with Hooke's law, as opposed to using a smoothing function for neighboring solid particles.
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by A. Tsionskiy, M. Tsionskiy - arXiv
Solutions of the Navier-Stokes and Euler equations with initial conditions (Cauchy problem) for two and three dimensions are obtained in the convergence series form by the iterative method using the Fourier and Laplace transforms in this paper.
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Constantly in use since its first publication in 1879, this book is the definitive reference for all fluid dynamicists. Despite the pace of modern research and the advent of high-speed computers, Lamb's work remains a relevant, timeless classic.
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Lecture notes for a course on differential equations covering differential calculus, Picard's method, local structure of vector fields, sums and Lie products, self-adjoint operators on Hilbert space, commutative multiplicity theory, and more.