On von Neumann reflection of shock wave in condensed matter

1998 ◽  
Author(s):  
S. Itoh ◽  
Y. Natamitsu ◽  
Z. Y. Liu ◽  
M. Fujita
Keyword(s):  
Shock Wave ◽  
Condensed Matter ◽  
Von Neumann

Von Neumann reflection of underwater shock wave

1999 ◽  
Vol 85 (1-3) ◽  
pp. 48-51 ◽  
Author(s):  
Y Nadamitsu ◽  
Z.Y Liu ◽  
M Fujita ◽  
S Itoh
Keyword(s):  
Shock Wave ◽  
Underwater Shock Wave ◽  
Von Neumann ◽  
Underwater Shock

scholarly journals On the mathematical model of combined rarefaction and compression waves in condensed matter

2021 ◽  
Vol 50 ◽  
pp. 104-107
Author(s):  
Alexander Alexandrovitch Samokhin ◽  
Pavel Aleksandrovich Pivovarov
Keyword(s):  
Shock Wave ◽  
Rarefaction Wave ◽  
Condensed Matter ◽  
Steady State Regime ◽  
Compression Waves ◽  
Momentum Fluxes ◽  
State Regime ◽  
The Mathematical Model ◽  
The Waves ◽  
Nonmetal Transition

Two waves model where shock wave is combined with rarefaction wave appearing in laser ablation due to metal-nonmetal transition effect is investigated using conservation laws for mass and momentum fluxes for the steady-state regime of the process. This approach permits to obtain the relation between front velocities of the waves which shows that the rarefaction wave can be rather slow compared with the generated shock wave.

ATTENUATION OF SPURIOUS OSCILLATIONS IN THE NUMERICAL CAPTURE OF SHOCK WAVES

2006 ◽  
Vol 17 (10) ◽  
pp. 1403-1413
Author(s):  
D. PORTES ◽  
H. RODRIGUES ◽  
S. B. DUARTE
Keyword(s):  
Shock Wave ◽  
Continuous Solution ◽  
Artificial Viscosity ◽  
Plane Shock ◽  
Hydrodynamic Equations ◽  
Von Neumann ◽  
One Dimensional ◽  
First Derivative ◽  
Spurious Oscillations ◽  
Steady Plane

Artificial viscosity is often expressed as a superposition of linear and quadratic terms in the first derivative of the velocity field. In trying to find a continuous solution for the hydrodynamic equations, we propose an alternative one-term artificial viscosity which is a linear form of the derivative of the specific volume. It is shown that this artificial viscosity is able to capture the profile of the steady plane shock wave, largely removing the non-physical oscillations originated by the artificial viscosity of von Neumann and Richtmyer. Analytical and numerical calculations for one-dimensional shock using both artificial viscosities are compared.

Analytical reconsideration of the von Neumann paradox in the reflection of a shock wave over a wedge

2008 ◽  
Vol 20 (4) ◽  
pp. 046101 ◽  
Author(s):  
Eugene I. Vasilev ◽  
Tov Elperin ◽  
Gabi Ben-Dor
Keyword(s):  
Shock Wave ◽  
Von Neumann ◽  
Von Neumann Paradox

Examination of the von Neumann paradox for a weak shock wave

1995 ◽  
Vol 17 (1) ◽  
pp. 13-25 ◽  
Author(s):  
Susumu Kobayashi ◽  
Takashi Adachi ◽  
Tateyuki Suzuki
Keyword(s):  
Shock Wave ◽  
Weak Shock ◽  
Weak Shock Wave ◽  
Von Neumann ◽  
Von Neumann Paradox

ATTENUATION OF NON-PHYSICAL OSCILLATIONS IN SUPERNOVA SHOCK WAVES

2007 ◽  
Vol 16 (02n03) ◽  
pp. 515-520
Author(s):  
S. B. DUARTE ◽  
H. RODRIGUES ◽  
D. PORTES
Keyword(s):  
Shock Wave ◽  
Shock Front ◽  
Current Problem ◽  
Artificial Viscosity ◽  
Numerical Code ◽  
Plane Shock ◽  
Core Collapse ◽  
Type Ii ◽  
Von Neumann ◽  
A Current

Artificial viscosity is widely used in numerical calculations of stellar core collapse. The failure or success of the prompt mechanism explosion of type-II supernovae is strongly dependent on the numerical code, and the study of a suitable and efficient method of capturing the shock front is a current problem. We present a novel one-term artificial viscosity which is dependent on the velocity field along the shock front. We show that this form of artificial viscosity is able to capture the profile of a plane shock wave, removing the non-physical oscillations originated by the artificial viscosity of von Neumann and Richtmyer type.

scholarly journals Shock Wave in Condensed Matter Generated by Impulsive Load

1985 ◽  
Vol 40 (1) ◽  
pp. 8-13 ◽  
Author(s):  
S. I. Anisimov ◽  
V. A. Kravchenko
Keyword(s):  
Shock Wave ◽  
Shock Loading ◽  
Condensed Matter ◽  
Laser Pulses ◽  
Self Similarity ◽  
Impulsive Load ◽  
Self Similar Solution ◽  
Short Laser Pulses ◽  
The Media ◽  
Self Similar

A shock wave in condensed matter generated by impulsive load ("shock loading") is considered. A self-similar solution of the problem is presented. The media are described by the equation-of-state of the Mie-Grüneisen type. Values of the self-similarity exponent and the profiles of gas-dynamical variables have been calculated. The problem of generation of shock waves by ultra-short laser pulses is discussed.

Sign in / Sign up

Export Citation Format

Share Document