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The detection of gravitational waves by the LIGO-Virgo-KAGRA collaboration has ushered in a new era of observational astronomy, emphasizing the need for rapid and detailed parameter estimation and population-level analyses. Traditional…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Bo Liang , He Wang

I discuss the accuracy requirements on numerical relativity calculations of inspiraling compact object binaries whose extracted gravitational waveforms are to be used as templates for matched filtering signal extraction and physical…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Mark Miller

High-resolution numerical simulations are utilized to examine isotropic turbulence in a compressible fluid when long wavelength velocity fluctuations approach light speed. Spectral analysis reveals an inertial sub-range of relativistic…

High Energy Astrophysical Phenomena · Physics 2013-01-04 Jonathan Zrake , Andrew MacFadyen

This article presents a study of the sufficient accuracy of post-Newtonian and numerical relativity waveforms for the most demanding usage case: parameter estimation of strong sources in advanced gravitational wave detectors. For black hole…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Ilana MacDonald , Samaya Nissanke , Harald P. Pfeiffer

We investigate the measurement correlation between the effective spin and the effective tidal deformability in gravitational wave signals from binary neutron star mergers. To efficiently measure the effective tidal deformability parameter,…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Souradeep Pal , K Rajesh Nayak

Numerical precision in large-scale scientific computations has become an emerging topic due to recent developments in computer hardware. Lower floating point precision offers the potential for significant performance improvements, but the…

Fluid Dynamics · Physics 2025-05-05 Martin Karp , Niclas Jansson , Saleh Rezaeiravesh , Stefano Markidis , Philipp Schlatter

Understanding the predictions of general relativity for the dynamical interactions of two black holes has been a long-standing unsolved problem in theoretical physics. Black-hole mergers are monumental astrophysical events, releasing…

General Relativity and Quantum Cosmology · Physics 2011-09-29 Joan M. Centrella , John G. Baker , Bernard J. Kelly , James R. van Meter

In this report, We investigated the nonlinear phenomena in the study of flow dynamics of velocity component. In our studies, we observed nonlinear term in the vertical component of velocity by vittori et al \cite{vit} The time series…

Fluid Dynamics · Physics 2009-09-15 Ruma Dutta , Ethan Kubatko

The production of numerical relativity waveforms that describe quasicircular binary black hole mergers requires high-quality initial data, and an algorithm to iteratively reduce residual eccentricity. To date, these tools remain closed…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Sarah Habib , Antoni Ramos-Buades , E. A. Huerta , Sascha Husa , Roland Haas , Zachariah Etienne

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

Numerical Relativity is a multidisciplinary field including relativity, magneto-hydrodynamics, astrophysics and computational methods, among others, with the aim of solving numerically highly-dynamical, strong-gravity scenarios where no…

General Relativity and Quantum Cosmology · Physics 2020-09-01 Carlos Palenzuela

The concept of Nonlinear dispersion relation (NDR) is used in various fields of Physics (nonlinear optics, hydrodynamics, hydroelasticity, mechanics, quantum optics, plasma physics,...) to characterize fundamental phenomena induced by…

The stationary and highly non-stationary resonant dynamics of the harmonically forced pendulum are described in the framework of a semi-inverse procedure combined with the Limiting Phase Trajectory concept. This procedure, implying only…

Chaotic Dynamics · Physics 2016-04-25 Leonid I. Manevitch , Valeri V. Smirnov , Francesco Romeo

The interaction of a solitary wave front with an interface formed by two strongly-nonlinear non-cohesive granular lattices displays rich behaviour, characterized by the breakdown of continuum equations of motion in the vicinity of the…

Soft Condensed Matter · Physics 2013-03-26 A. M. Tichler , L. R. Gomez , N. Upadhyaya , X. Campman , V. F. Nesterenko , V. Vitelli

We present improved post-Newtonian-inspired initial data for non-spinning black-hole binaries, suitable for numerical evolution with punctures. We revisit the work of Tichy et al. [W. Tichy, B. Bruegmann, M. Campanelli, and P. Diener, Phys.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bernard J Kelly , Wolfgang Tichy , Manuela Campanelli , Bernard F Whiting

Standard perturbative calculations of scalar-induced gravitational waves (SIGWs) have neglected nonperturbative effects in the large-amplitude regime. We develop a hybrid numerical framework to signify nonperturbative effects on the…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Zhuan Ning , Zi-Yan Yuwen , Xiang-Xi Zeng , Rong-Gen Cai , Shao-Jiang Wang

The gravitational wave strain emitted by a perturbed black hole (BH) ringing down is typically modeled analytically using first-order BH perturbation theory. In this Letter we show that second-order effects are necessary for modeling…

Accurate simulation of wind turbulence over fast-propagating waves requires interface-capturing methods that suppress numerical artifacts while accurately resolving momentum transfer across the interface. In high wave-age regimes, numerical…

Fluid Dynamics · Physics 2026-02-23 Hanul Hwang , Catherine Gorle

We present a new expression for the Weyl scalar Psi_4 that can be used in numerical relativity to extract the gravitational wave content of a spacetime. The formula relies upon the identification of transverse tetrads, namely the ones in…

General Relativity and Quantum Cosmology · Physics 2008-11-12 Andrea Nerozzi , Oliver Elbracht
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