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 …

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 …

[PDF][PDF] The NHRS scheme for the Chaplygin gas model in one and two dimensions

K Mohamed, HA Alkhidhr, MAE Abdelrahman - AIMS Math, 2022 - aimspress.com
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 …

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 …

Solution of Riemann problem of conservation laws in van der Waals gas

P Gupta, RK Chaturvedi, LP Singh - Waves in Random and …, 2024 - Taylor & Francis
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 …

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 …

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 …

Riemann problem for the Chaplygin gas equations for several classes of non-constant initial data

A Kumar, R Radha - European Journal of Mechanics-B/Fluids, 2022 - Elsevier
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 …

Modeling of piston problem for generalized Chaplygin gas

E Jain, D Singh, SD Ram - Advances in Mathematical and …, 2024 - degruyter.com
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 …

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 …