Results 11 to 20 of about 160,914 (245)
Solution of two‐dimensional Riemann problems for gas dynamics without Riemann problem solvers [PDF]
Numerical Methods for Partial Differential Equations, 2002 AbstractWe report here on our numerical study of the two‐dimensional Riemann problem for the compressible Euler equations. Compared with the relatively simple 1‐D configurations, the 2‐D case consists of a plethora of geometric wave patterns that pose a computational challenge for high‐resolution methods. The main feature in the present computations of
Kurganov, Alexander, Tadmor, Eitan
openaire +5 more sources
Strong asymptotics for Cauchy biorthogonal polynomials with application to the Cauchy two--matrix model [PDF]
, 2012 We apply the nonlinear steepest descent method to a class of 3x3 Riemann-Hilbert problems introduced in connection with the Cauchy two-matrix random model.
Atiyah M. F. +8 more
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The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws
Boundary Value Problems, 2017 The Riemann problem for a one-dimensional nonlinear wave system with different gamma laws is considered. By the properties of wave curves, we observe that this system does not contain the composite wave compared to the barotropic models of gas dynamics ...
Guodong Wang, Jia-Bao Liu, Lin Zhao
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Toward a mathematical analysis for a model of suspension flowing down an inclined plane [PDF]
, 2017 We consider the Riemann problem of the dilute approximation equations with spatiotemporally dependent volume fractions from the full model of suspension, in which the particles settle to the solid substrate and the clear liquid film flows over the ...
Matsue, Kaname, Tomoeda, Kyoko
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Comparison of macro- and microscopic solutions of the Riemann problem I. Supercritical shock tube and expansion into vacuum [PDF]
, 2019 The Riemann problem is a fundamental concept in the development of numerical methods for the macroscopic flow equations. It allows the resolution of discontinuities in the solution, such as shock waves, and provides a powerful tool for the construction ...
Heinen, Matthias +3 more
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Advances in Mathematical Physics, 2017 The Riemann problem for a special Keyfitz-Kranzer system is investigated and then seven different Riemann solutions are constructed. When the initial data are chosen as three piecewise constant states under suitable assumptions, the global solutions to ...
Yuhao Jiang, Chun Shen
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The delta-shock wave for the two variables of a class of Temple system
Advances in Difference Equations, 2018 We investigate the Riemann problem for one-dimensional Temple class, obtain the Riemann solutions containing delta-shock wave, and discover that each variable of this system contains the Dirac delta function in different region. By the interaction of the
Guodong Wang +3 more
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Современная математика: Фундаментальные направления, 2023 An explicit form of weak solutions to the Riemann problem for a degenerate nonlinear parabolic equation with a piecewise constant diffusion coe cient is found.
E. Yu. Panov
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European Journal of Personality, EarlyView., 2020 Abstract Personality can be described at different levels of abstraction. Whereas the Big Five domains are the dominant level of analysis, several researchers have called for more fine‐grained approaches, such as facet‐level analysis. Personality facets allow more comprehensive descriptions, more accurate predictions of outcomes, and a better ...
Daniel Danner +4 more
wiley +1 more source
JUNCTION RIEMANN PROBLEM FOR SHALLOW WATER EQUATIONS IN NETWORKS
TASK Quarterly, 2018 In this paper, the Riemann solution of an extended Riemann problem in channel networks is presented. The Riemann problem at a junction network is well defined in the literature. However, it is limited to symmetric networks.
MOHAMED ABDELREHIM +1 more
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