Zobrazeno 1 - 10
of 827
pro vyhledávání: '"35l67"'
Autor:
Bhatnagar, Manas, Young, Robin
We present a variation of the Front Tracking (FT) method for modeling solutions to hyperbolic systems in one space dimension, a Modified FT scheme. Instead of using non-entropic shocks, we approximate simple waves by jumps which exactly match the sta
Externí odkaz:
http://arxiv.org/abs/2411.09086
Autor:
Long, Bingsong
We consider two-dimensional Riemann boundary value problems of Euler equations for the Chaplygin gas with two piecewise constant initial data outside a convex cornered wedge. In self-similar coordinates, when the flow at the wedge corner is subsonic,
Externí odkaz:
http://arxiv.org/abs/2411.06108
We are concerned with the Cauchy problem for one-dimensional scalar hyperbolic conservation laws, wherein the flux functions exhibit convexity degeneracy and the initial data are in $L^\infty$. Our primary aim of this paper is to introduce and valida
Externí odkaz:
http://arxiv.org/abs/2410.21114
The analysis of non-local regularisations of scalar conservation laws is an active research program. Applications of such equations are found in the modelling of physical phenomena such as traffic flow. In this paper, we propose a novel inviscid, non
Externí odkaz:
http://arxiv.org/abs/2410.16743
We establish the Gauss-Green formula for extended divergence-measure fields (i.e., vector-valued measures whose distributional divergences are Radon measures) over open sets. We prove that, for almost every open set, the normal trace is a measure sup
Externí odkaz:
http://arxiv.org/abs/2410.09214
Autor:
Boughrara, Maissâ, Zaag, Hatem
We consider the semilinear wave equation with a power nonlinearity in the radial case. Given $r_0>0$, we construct a blow-up solution such that the solution near $(r_0,T(r_0))$ converges exponentially to a soliton. Moreover, we show that $r_0$ is a n
Externí odkaz:
http://arxiv.org/abs/2410.00636
We are concerned with the well-posedness of an inverse problem for determining the wedge boundary and associated two-dimensional steady supersonic Euler flow past the wedge, provided that the pressure distribution on the boundary surface of the wedge
Externí odkaz:
http://arxiv.org/abs/2409.18241
Autor:
Popov, I. S.
Numerical methods of the ADER family, in particular finite-element ADER-DG and finite-volume ADER-WENO methods, are among the most accurate numerical methods for solving quasilinear PDE systems. The internal structure of ADER-DG and ADER-WENO numeric
Externí odkaz:
http://arxiv.org/abs/2409.12483
Autor:
Popov, I. S
Publikováno v:
J. Sci. Comput. 95, 44 (2023)
The space-time adaptive ADER finite element DG method with a posteriori correction technique of solutions on subcells by the finite-volume ADER-WENO limiter was used to simulate non-stationary compressible multicomponent reactive flows. The multicomp
Externí odkaz:
http://arxiv.org/abs/2409.09932
Autor:
Popov, I. S.
Publikováno v:
Computers & Fluids, 284, 106425 (2024)
The space-time adaptive ADER-DG finite element method with LST-DG predictor and a posteriori sub-cell ADER-WENO finite-volume limiting was used for simulation of multidimensional reacting flows with detonation waves. The presented numerical method do
Externí odkaz:
http://arxiv.org/abs/2409.09911