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A mathematical introduction to fluid mechanics
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In this paper, the Equations of Motion (EOM) and potential flow and slightly viscous flow are used to describe the gas flow in one dimension in one-dimensional space.Abstract:
Contents: The Equations of Motion.- Potential Flow and Slightly Viscous Flow.- Gas Flow in One Dimension.- Vector Identities.- Index.read more
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Finite Volume Methods for Hyperbolic Problems
TL;DR: The CLAWPACK software as discussed by the authors is a popular tool for solving high-resolution hyperbolic problems with conservation laws and conservation laws of nonlinear scalar scalar conservation laws.
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Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science (2nd edition)
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Numerical solution of saddle point problems
TL;DR: A large selection of solution methods for linear systems in saddle point form are presented, with an emphasis on iterative methods for large and sparse problems.
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Coverage control for mobile sensing networks
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Stable fluids
TL;DR: This paper proposes an unconditionally stable model which still produces complex fluid-like flows and the stability of the model allows us to take larger time steps and therefore achieve faster simulations.
References
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Book
An Introduction to Fluid Dynamics
TL;DR: The dynamique des : fluides Reference Record created on 2005-11-18 is updated on 2016-08-08 and shows improvements in the quality of the data over the past decade.
Book
Navier-Stokes Equations
TL;DR: Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.
Book
Supersonic flow and shock waves
Richard Courant,Kurt Friedrichs +1 more
TL;DR: In this article, the authors proposed a method to compressible ecoulement for compressible compressible and supersonique and onde de choc Reference Record created on 2005-11-18, modified on 2016-08-08
Book
Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves
TL;DR: Quasi-linear Hyperbolic Equations Conservation Laws Single Conservation Laws The Decay of Solutions as t Tends to infinity Hypothesis of conservation laws Pairs of Conservation Laws as mentioned in this paper.
Book
Mathematics applied to continuum mechanics
Lee A. Segel,G. H. Handelman +1 more
TL;DR: In this article, the authors define the geometrical requirements for three-dimensional Continuum Mechanics and define a calculus of variations for the problem of elasticity in a 3D manifold.