Results 1 to 10 of about 2,981 (188)
Hyperbolic slicings of spacetime: singularity avoidance and gauge shocks [PDF]
, 2002 I study the Bona-Masso family of hyperbolic slicing conditions, considering in particular its properties when approaching two different types of singularities: focusing singularities and gauge shocks.
Alcubierre M +13 more
core +2 more sources
Constraint and gauge shocks in one-dimensional numerical relativity [PDF]
, 2004 We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent criteria that can be used to determine when such blow-ups can be expected ...
B. Gustafsson +22 more
core +3 more sources
The refined inviscid stability condition and cellular instability of viscous shock waves [PDF]
, 2009 Combining work of Serre and Zumbrun, Benzoni-Gavage, Serre, and Zumbrun, and Texier and Zumbrun, we propose as a mechanism for the onset of cellular instability of viscous shock and detonation waves in a finite-cross-section duct the violation of the ...
Abouseif +41 more
core +1 more source
Embedding initial data for black hole collisions [PDF]
, 1994 We discuss isometric embedding diagrams for the visualization of initial data for the problem of the head-on collision of two black holes. The problem of constructing the embedding diagrams is explicitly presented for the best studied initial data, the ...
Abrahams A M +10 more
core +2 more sources
Adaptive Mesh Refinement for Hyperbolic Systems based on Third-Order Compact WENO Reconstruction [PDF]
, 2015 In this paper we generalize to non-uniform grids of quad-tree type the Compact WENO reconstruction of Levy, Puppo and Russo (SIAM J. Sci. Comput., 2001), thus obtaining a truly two-dimensional non-oscillatory third order reconstruction with a very ...
Coco, A., Russo, G., Semplice, M.
core +3 more sources
Gasdynamic wave interaction in two spatial dimensions [PDF]
, 2003 We examine the interaction of shock waves by studying solutions of the two-dimensional Euler equations about a point. The problem is reduced to linear form by considering local solutions that are constant along each ray and thereby exhibit no length ...
Sanderson, S. R.
core +1 more source
Singular limiting induced from continuum solutions and the problem of dynamic cavitation [PDF]
, 2013 In the works of K.A. Pericak-Spector and S. Spector [Pericak-Spector, Spector 1988, 1997] a class of self-similar solutions are constructed for the equations of radial isotropic elastodynamics that describe cavitating solutions.
Giesselmann, Jan +1 more
core +5 more sources
Modelling rollers for shallow water flows [PDF]
, 2013 Hydraulic jumps, roll waves or bores in open channel flows are often treated as singularities by hydraulicians while slowly varying shallow water flows are described by continuous solutions of the Saint-Venant equations. Richard & Gavrilyuk (J.
Thual, Olivier
core +5 more sources
Kicked Burgers Turbulence [PDF]
, 2000 Burgers turbulence subject to a force $f(x,t)=\sum_jf_j(x)\delta(t-t_j)$, where the $t_j$'s are ``kicking times'' and the ``impulses'' $f_j(x)$ have arbitrary space dependence, combines features of the purely decaying and the continuously forced cases ...
Bec, J., Frisch, U., Khanin, K.
core +4 more sources
Multidimensional Conservation Laws: Overview, Problems, and Perspective
, 2010 Some of recent important developments are overviewed, several longstanding open problems are discussed, and a perspective is presented for the mathematical theory of multidimensional conservation laws.
A. Blokhin +205 more
core +2 more sources