The phenomena of concentration and cavitation in the Riemann solution for the isentropic zero-pressure dusty gasdynamics
RK Chaturvedi, LP Singh - Journal of Mathematical Physics, 2021 - pubs.aip.org
The aim of the present paper is to investigate the concentration and cavitation phenomenon
in the solution of the Riemann problem (RP) to the pressureless isentropic Euler equations …
in the solution of the Riemann problem (RP) to the pressureless isentropic Euler equations …
Classification of nonlocal symmetries and exact solutions for 3× 3 Chaplygin gas equation with conservation laws
S Shagolshem, B Bira - Physics of Fluids, 2023 - pubs.aip.org
In this paper, we study the one-dimensional isentropic compressible Euler system for the
Chaplygin gas through Lie symmetry analysis. The one-dimensional optimal subalgebras …
Chaplygin gas through Lie symmetry analysis. The one-dimensional optimal subalgebras …
[PDF][PDF] The NHRS scheme for the Chaplygin gas model in one and two dimensions
The main motive of this work is to introduce a numerical investigation for the one and
twodimensional (1D/2D) Chaplygin gas model. Namely, we developed the non …
twodimensional (1D/2D) Chaplygin gas model. Namely, we developed the non …
Simulating isothermal Euler model with non-vacuum initial data via mR scheme
MAE Abdelrahman, HA Alkhidhr… - Journal of Low …, 2022 - journals.sagepub.com
We consider the isothermal Euler model with non-vacuum initial data. We extract the
Riemann invariants of the isothermal Euler model, which admits vital applications. We also …
Riemann invariants of the isothermal Euler model, which admits vital applications. We also …
Solution of Riemann problem of conservation laws in van der Waals gas
The present study is concerned with the analytical solution of Riemann problem for
conservation laws of van der Waals gas. By utilizing Rankine–Hugoniot conditions and Lax …
conservation laws of van der Waals gas. By utilizing Rankine–Hugoniot conditions and Lax …
The application of differential constraint method for the solution of non-homogeneous generalized Riemann problem
LP Singh - Physica Scripta, 2023 - iopscience.iop.org
This paper reports the solution to the Non-homogeneous Riemann problem by applying the
approach of differential constraint for the one-dimensional (1− D) generalized Chaplygin gas …
approach of differential constraint for the one-dimensional (1− D) generalized Chaplygin gas …
The modified Rusanov scheme for solving the phonon-Bose model
K Mohamed, MAE Abdelrahman - International Journal of Nonlinear …, 2024 - degruyter.com
This paper considers the one-dimensional model of heat conduction in solids at low
temperature, the so called phonon-Bose model. The nonlinear model consists of a …
temperature, the so called phonon-Bose model. The nonlinear model consists of a …
Riemann problem for the Chaplygin gas equations for several classes of non-constant initial data
Abstract Gupta et al.(2020) had obtained a nontrivial solution for the Chaplygin gas
equations and the generalized Riemann problem for the Chaplygin gas equations was …
equations and the generalized Riemann problem for the Chaplygin gas equations was …
Modeling of piston problem for generalized Chaplygin gas
The present study focuses to examine how a plane piston behaves in a generalized
Chaplygin gas when it moves at a constant speed. A methodical perturbation approach is …
Chaplygin gas when it moves at a constant speed. A methodical perturbation approach is …
Study of certain problems on nonlinear wave propagation involving hyperbolic system of pdes
RK Chaturvedi - 2022 - idr-lib.iitbhu.ac.in
In the nonlinear system, the wave is considered to be moving surface along which the flow
variables and their derivatives occupy certain kind of discontinuity that are carried along by …
variables and their derivatives occupy certain kind of discontinuity that are carried along by …