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We employ an approximate treatment of dissipative hydrodynamics in three dimensions to study the coalescence of binary neutron stars driven by the emission of gravitational waves. The stars are modeled as compressible ellipsoids obeying a…

Astrophysics · Physics 2009-10-22 Dong Lai , Stu Shapiro

The Liege Oscillation code can be used as a stand-alone program or as a library of subroutines that the user calls from a Fortran main program of his own to compute radial and non-radial adiabatic oscillations of stellar models. We describe…

Astrophysics · Physics 2009-11-13 R. Scuflaire , J. Montalban , S. Theado , P. -O. Bourge , A. Miglio , M. Godart , A. Thoul , A. Noels

We study the effect of rotation on the excitation of internal oscillation modes of a star by the external gravitational potential of its companion. Unlike the nonrotating case, there are difficulties with the usual mode decomposition for…

Astrophysics · Physics 2009-10-30 Dong Lai

We study the fate of internal gravity waves approaching the centre of a non-rotating solar-type star, by performing 3D numerical simulations using a Boussinesq-type model. These waves are excited at the top of the radiation zone by the…

Earth and Planetary Astrophysics · Physics 2015-05-27 A. J. Barker

This paper presents a nonlinear reaction-diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature and electric potential in both the fluid and solid regions,…

Numerical Analysis · Mathematics 2024-05-03 Mostafa Bendahmane , Youssef Ouakrim , Yassine Ouzrour , Mohamed Zagour

A one-dimensional turbulent convection model in the form of a time-dependent diffusion equation for the turbulent energy is incorporated into our numerical pulsation code. The effect of turbulent convection on the structural rearrangement…

Astrophysics · Physics 2016-08-30 P. A. Yecko , Z. Kollath , J. R. Buchler

Tidal friction has long been recognized to circularize the orbits of binary stars over time. In this study, we use the observed distribution of orbital eccentricities in populations of binary stars to probe tidal dissipation. In contrast to…

Solar and Stellar Astrophysics · Physics 2022-09-26 Kaloyan M. Penev , Joshua A. Schussler

We present the Dynamic Eclipse Mapping (DEM) method designed specifically to reconstruct the surface intensity patterns of non-radial stellar oscillations in eclipsing binaries. The method needs a geometric model of the binary, accepts the…

Solar and Stellar Astrophysics · Physics 2015-05-27 I. B. Bíró , J. Nuspl

We review the numerical modelling of the nonlinear pulsations of classical variable stars with hydrocodes that include the effects of turbulent convection. Despite their simplicity these turbulent convective recipes appear to remove many of…

Astrophysics · Physics 2007-05-23 J. Robert Buchler

We present several families of nonlinear reaction diffusion equations with variable coefficients including Fisher-KPP and Burgers type equations. Special exact solutions such as traveling wave, rational, triangular wave and N-wave type…

Mathematical Physics · Physics 2017-10-25 E. Pereira , E. Suazo , J. Trespalacios

The discovery of the most compact detached white dwarf (WD) binary SDSS J065133.33+284423.3 has been discussed in terms of probing the tidal effects in white dwarfs. This system is also a verification source for the space-based…

Solar and Stellar Astrophysics · Physics 2015-06-22 Sweta Shah , Gijs Nelemans

The periodic, inverse scattering transform (PIST) is a powerful analytical tool in the theory of integrable, nonlinear evolution equations. Osborne pioneered the use of the PIST in the analysis of data form inherently nonlinear physical…

Fluid Dynamics · Physics 2009-09-22 Ivan Christov

We develop a new formalism to study the dynamics of fluid polytropes in three dimensions. The stars are modeled as compressible ellipsoids and the hydrodynamic equations are reduced to a set of ordinary differential equations for the…

Astrophysics · Physics 2009-10-22 Dong Lai , Frederic A. Rasio , Stuart L. Shapiro

Tidally tilted pulsators (TTPs), whose pulsation axis aligns with the binary's semi-major axis, represent a newly established class of oscillators in binary systems. While all previously known TTPs are either $\delta$ Scuti or subdwarf…

Solar and Stellar Astrophysics · Physics 2026-01-01 Ping Li , Wen-Ping Liao , Sheng-Bang Qian , Li-Ying Zhu , Jia Zhang , Qi-Bin Sun , Fang-Bin Meng

Context: New observational means such as the space missions CoRoT and Kepler and ground-based networks are and will be collecting stellar pulsation data with unprecedented accuracy. A significant fraction of the stars in which pulsations…

Solar and Stellar Astrophysics · Physics 2015-05-13 D. R. Reese , K. B. MacGregor , S. Jackson , A. Skumanich , T. S. Metcalfe

We extend the time-dependent convection treatment in \code{MESA} by introducing eddy-viscous damping. This software change brings \code{MESA-TDC} into closer alignment with the radial stellar pulsation framework of \code{MESA-RSP}. We…

Solar and Stellar Astrophysics · Physics 2026-03-18 Ebraheem Farag , Earl P. Bellinger , Philip Mocz , Selim Kalici , R. Smolec , Shashi Kanbur , Kyra Bettwy , Christopher Lindsay

In close binary stars, the tidal excitation of pulsations typically dissipates energy, causing the system to evolve towards a circular orbit with aligned and synchronized stellar spins. However, for stars with self-excited pulsations, we…

Solar and Stellar Astrophysics · Physics 2020-12-02 Jim Fuller

This thesis consists of seven scientific papers that cover the proof-of-concept, the development, and discoveries made through the use of the BEER (BEaming, Ellipsoidal, and Reflection) algorithm for searching for companions in the light…

Earth and Planetary Astrophysics · Physics 2016-12-30 Simchon Faigler

Stars may be understood as self-gravitating masses of a compressible fluid whose radiative cooling is compensated by nuclear reactions or gravitational contraction. The understanding of their time evolution requires the use of detailed…

Solar and Stellar Astrophysics · Physics 2016-06-22 M. Rieutord , F. Espinosa Lara , B. Putigny

We make publicly available an efficient, versatile, easy to use and extend tool for calculating the evolution of circular aligned planetary orbits due to the tidal dissipation in the host star. This is the first model to fully account for…

Earth and Planetary Astrophysics · Physics 2015-06-19 Kaloyan Penev , Michael Zhang , Brian Jackson