scholarly journals The Riemann Problem Near a Hyperbolic Singularity II

1988 ◽  
Vol 48 (6) ◽  
pp. 1287-1301 ◽  
Author(s):  
E. Isaacson ◽  
B. Temple
Keyword(s):  
Riemann Problem ◽  
Hyperbolic Singularity

The Riemann Problem Near a Hyperbolic Singularity III

1988 ◽  
Vol 48 (6) ◽  
pp. 1302-1318 ◽  
Author(s):  
E. Isaacson ◽  
B. Temple
Keyword(s):  
Riemann Problem ◽  
Hyperbolic Singularity

The Riemann Problem Near a Hyperbolic Singularity: The Classification of Solutions of Quadratic Riemann Problems I

1988 ◽  
Vol 48 (5) ◽  
pp. 1009-1032 ◽  
Author(s):  
E. Isaacson ◽  
D. Marchesin ◽  
B. Plohr ◽  
B. Temple
Keyword(s):  
Riemann Problem ◽  
Riemann Problems ◽  
Hyperbolic Singularity ◽  
Classification Of Solutions

A LIMITING VISCOSITY APPROACH TO THE RIEMANN PROBLEM FOR TRANSONIC FLOW

1992 ◽  
Vol 12 (2) ◽  
pp. 130-138
Author(s):  
Jiaxin Hu
Keyword(s):  
Riemann Problem ◽  
Transonic Flow

A note on the Riemann problem for shallow water equations with discontinuous topography

2021 ◽  
Vol 116 ◽  
pp. 107042
Author(s):  
Qinglong Zhang ◽  
Wancheng Sheng
Keyword(s):  
Shallow Water ◽  
Riemann Problem ◽  
Shallow Water Equations

scholarly journals The Multiplication of Distributions in the Study of a Riemann Problem in Fluid Dynamics

2017 ◽  
Vol 24 (3) ◽  
pp. 328-345 ◽  
Author(s):  
C.O.R. Sarrico ◽  
A. Paiva
Keyword(s):  
Fluid Dynamics ◽  
Riemann Problem ◽  
Multiplication Of Distributions

The Riemann problem for one-velocity model of multicomponent mixture

2009 ◽  
Vol 47 (2) ◽  
pp. 263-271 ◽  
Author(s):  
V. S. Surov
Keyword(s):  
Riemann Problem ◽  
Multicomponent Mixture ◽  
Velocity Model

Generalized Riemann problem-based upwind scheme for the vorticity transport equations

2016 ◽  
Vol 132 ◽  
pp. 10-18 ◽  
Author(s):  
Eric Parish ◽  
Karthik Duraisamy ◽  
Praveen Chandrashekar
Keyword(s):  
Riemann Problem ◽  
Transport Equations ◽  
Upwind Scheme ◽  
Generalized Riemann Problem ◽  
Vorticity Transport

Solution of the Riemann Problem in magnetogasdynamics

2014 ◽  
Vol 67 ◽  
pp. 326-330 ◽  
Author(s):  
R. Singh ◽  
L.P. Singh
Keyword(s):  
Riemann Problem

scholarly journals Surface Evolution During Semiconductor Processing

VLSI Design ◽  
1998 ◽  
Vol 6 (1-4) ◽  
pp. 379-384 ◽  
Author(s):  
Ganesh Rajagopalan ◽  
Vadali Mahadev ◽  
Timothy S. Cale
Keyword(s):  
Riemann Problem ◽  
Surface Profile ◽  
Numerical Implementation ◽  
Jump Conditions ◽  
Semiconductor Processing ◽  
Explicit Integration ◽  
Surface Evolution ◽  
Left And Right ◽  
The Right ◽  
Surface Angle

We discuss our approach to using the Riemann problem to compute surface profile evolution during the simulation of deposition, etch and reflow processes. Each pair of segments which represents the surface is processed sequentially. For cases in which both segments are the same material, the Riemann problem is solved. For cases in which the two segments are different materials, two Riemann problems are solved. The material boundary is treated as the right segment for the left material and as the left segment for the right material. The critical equations for the analyses are the characteristics of the Riemann problem and the ‘jump conditions’ which represent continuity of the surface. Examples are presented to demonstrate selected situations. One limitation of the approach is that the velocity of the surface is not known as a function of the surface angle. Rather, it is known for the angles of the left and right segments. The rate as a function of angle must be assumed for the explicit integration procedure used. Numerical implementation is briefly discussed.

Riemann problem method for generalized Heisenberg equation

1992 ◽  
Vol 59 (1-3) ◽  
pp. 185-192
Author(s):  
Yu.L. Rodin
Keyword(s):  
Riemann Problem ◽  
Heisenberg Equation ◽  
Problem Method
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