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This work presents a novel framework for numerically simulating the depressurization of tanks and pipelines containing carbon dioxide (CO2). The framework focuses on efficient solution strategies for the coupled system of fluid flow…

The equation of state (EOS) of a low-density porous substance plasma is proposed in the form of continuous media EOS containing, as a pressure control parameter, the degree of plasma homogenization, which is function of the initial porous…

Plasma Physics · Physics 2023-06-28 S. Yu. Guskov , R. A. Yakhin

Supervised learning with a deep convolutional neural network is used to identify the QCD equation of state (EoS) employed in relativistic hydrodynamic simulations of heavy-ion collisions from the simulated final-state particle spectra…

High Energy Physics - Phenomenology · Physics 2017-08-03 Long-Gang Pang , Kai Zhou , Nan Su , Hannah Petersen , Horst Stöcker , Xin-Nian Wang

The smoothed particle hydrodynamics (SPH) method is a useful numerical tool for the study of a variety of astrophysical and planetlogical problems. However, it turned out that the standard SPH algorithm has problems in dealing with…

Instrumentation and Methods for Astrophysics · Physics 2015-06-16 Natsuki Hosono , Takayuki R. Saitoh , Junichiro Makino

Since a transcendental equation is involved in vapor liquid equilibrium (VLE) calculations with a cubic equation of state (EoS), any exact solution has to be carried out numerically with an iterative approach [1,2]. This causes significant…

Soft Condensed Matter · Physics 2020-10-30 Hongqin Liu

The search for thermodynamic admissibility moreover reveals a fundamental difference between liquids and gases in relativistic fluid dynamics, as the reversible convection mechanism is much simpler for liquids than for gases. In…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Laura Stricker , Hans Christian Öttinger

Relativistic non-ideal fluid dynamics is formulated in 3+1 space--time dimensions. The equations governing dissipative relativistic hydrodynamics are given in terms of the time and the 3-space quantities which correspond to those familiar…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

We study solutions of the relativistic hydrodynamical equations, which describe spherical or cylindrical expansion of ideal fluid. We derived approximate solutions involving two arbitrary functions, which describe asymptotic behavior of…

High Energy Physics - Phenomenology · Physics 2016-09-06 V. I. Zhdanov , M. S. Borshch

Relativistic hydrodynamics of an isentropic fluid in a gravitational field is considered as the particular example from the family of Lagrangian hydrodynamic-type systems which possess an infinite set of integrals of motion due to the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Victor P. Ruban

Modeling the internal structure of self-gravitating solid and liquid bodies presents a challenge, as existing approaches are often limited to either overly simplistic constant-density approximations or more complex numerical equations of…

Earth and Planetary Astrophysics · Physics 2025-07-31 Bartosz Żbik , Andrzej Odrzywołek

Dielectric is considered in the electric field that has equal to zero the first moment and different from zero the second moment of strength in an equilibrium. The equations of ideal hydrodynamics are obtained in such a field for the case…

Classical Physics · Physics 2016-06-13 Anton Stupka

The gravitational collapse of a barotropic perfect fluid having the Equation of State (EoS) $p=k\rho$, where $k$ is constant, is studied here in the framework of general relativity. We examine the restrictions on the Misner-Sharp mass…

General Relativity and Quantum Cosmology · Physics 2019-10-31 Karim Mosani , Dipanjan Dey , Pankaj S. Joshi

In this paper, we generalize the improved quasi-particle model proposed in J. Cao et al., [ Phys. Lett. B {\bf711}, 65 (2012)] from finite temperature and zero chemical potential to the case of finite chemical potential and zero…

High Energy Physics - Phenomenology · Physics 2013-11-20 Liu-jun Luo , Jing Cao , Yan Yan , Wei-Min Sun , Hong-Shi Zong

The equation of state (EOS) of the dark energy is the key parameter to study the nature of the dark energy from the observation. Though the dark energy is found to be well consistent with the cosmological constant with a constant EOS of…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-24 Shi Qi

In this paper, we develop a general mathematical framework for enhanced hydrodynamic near-cloaking of electro-osmotic flow for more complex shapes, which is obtained by simultaneously perturbing the inner and outer boundaries of the perfect…

Analysis of PDEs · Mathematics 2023-10-24 Hongyu Liu , Zhi-Qiang Miao , Guang-Hui Zheng

We report on our numerical implementation of fully relativistic hydrodynamics coupled to Einstein's field equations in three spatial dimensions. We briefly review several steps in our code development, including our recasting of Einstein's…

General Relativity and Quantum Cosmology · Physics 2009-10-31 T. W. Baumgarte , S. A. Hughes , L. Rezzolla , S. L. Shapiro , M. Shibata

We describe an axisymmetric general relativistic code for rotational core collapse. The code evolves the coupled system of metric and fluid equations using the ADM 3+1 formalism and a conformally flat metric approximation of the Einstein…

Astrophysics · Physics 2009-11-07 Harald Dimmelmeier , Jose A. Font , Ewald Mueller

We propose a robust approximate solver for the hydro-elastoplastic solid material, a general constitutive law extensively applied in explosion and high speed impact dynamics, and provide a natural transformation between the fluid and solid…

Numerical Analysis · Mathematics 2019-02-15 Ruo Li , Yanli Wang , Chengbao Yao

This report presents new EOS and strength models for use in numerical hydrocode simulations of dust impacts on the NASA solar probe space vehicle. This spacecraft will be subjected to impact at velocities up to 300 km/s, producing pressures…

Earth and Planetary Astrophysics · Physics 2013-07-01 Gerald I. Kerley

Different equations of state (EOS) have been used to study pressure as a function of volume compressions at a given temperature. The critical test of EOS' for solids under low compressions (<10GPa) by evaluating the pressure-volume…

Materials Science · Physics 2012-07-11 S. Gaurav , S. Shankar Subramanian , Satyendra P. Singh , B. S. Sharma
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