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Acoustic wave attenuation due to vibrational and rotational molecular relaxation, under simplifying assumptions of near-thermodynamic equilibrium and absence of molecular dissociations, can be accounted for by specifying a bulk viscosity…

Fluid Dynamics · Physics 2017-07-20 Jeffrey Lin , Carlo Scalo , Lambertus Hesselink

An acoustic wave equation for pressure accounting for viscoelastic attenuation is derived from viscoelastic equations of motion. It is assumed that the relaxation moduli are completely monotonic. The acoustic equation differs significantly…

Mathematical Physics · Physics 2014-01-31 Andrzej Hanyga

Particle methods play an important role in computational fluid dynamics, but they are among the most difficult to implement and solve. The most common method is smoothed particle hydrodynamics, which is suitable for problem settings that…

Fluid Dynamics · Physics 2025-08-26 Masato Shibukawa , Naoya Ozaki , Maximilien Berthet

The weakly compressible methods to simulate incompressible flows are in a state of rapid development, owing to the envisaged efficiency they offer for parallel computing. The pressure waves in such methods travel at finite speeds, and hence…

Computational Physics · Physics 2025-05-07 Dheeraj Raghunathan , Y. Sudhakar

A homogenization approach is proposed for the treatment of porous wall boundary conditions in the computation of compressible viscous flows. Like any other homogenization approach, it eliminates the need for pore-resolved fluid meshes and…

Fluid Dynamics · Physics 2020-12-15 Daniel Z. Huang , Man Long Wong , Sanjiva K. Lele , Charbel Farhat

We present a novel approach for simulating acoustic (pressure) wave propagation across different media separated by a diffuse interface through the use of a weak compressibility formulation. Our method builds on our previous work on an…

Numerical Analysis · Mathematics 2025-11-11 Abbas Ballout , Oscar A. Marino , Gerasimos Ntoukas , Gonzalo Rubio , Esteban Ferrer

Despite its fundamental role in the dynamics of compressible fluids, bulk viscosity has received little experimental attention and there remains a paucity of measured data. Acoustic spectroscopy provides a robust and accurate approach to…

Fluid Dynamics · Physics 2011-08-18 M. J. Holmes , N. G. Parker , M. J. W. Povey

The problem of propagating nonlinear acoustic waves is considered; the solution to which, both with and without damping, having been obtained to-date starting from the Navier-Stokes-Duhem equations together with the continuity and thermal…

Fluid Dynamics · Physics 2021-09-29 Markus Scholle

We introduce a second-order numerical scheme for compressible atmospheric motions at small to planetary scales. The collocated finite volume method treats the advection of mass, momentum, and mass-weighted potential temperature in…

Numerical Analysis · Mathematics 2020-01-08 Tommaso Benacchio , Rupert Klein

A new mechanism for the enhanced generation of compressible fluctuations by Alfven waves is presented. A strongly nonlinear regime of Alfven wave phase-mixing is numerically simulated in a one-dimensionally inhomogeneous plasma of finite…

Astrophysics · Physics 2007-05-23 V. M. Nakariakov , D. Tsiklauri , T. D. Arber

We present a theory for the acoustic force density acting on inhomogeneous fluids in acoustic fields on time scales that are slow compared to the acoustic oscillation period. The acoustic force density depends on gradients in the density…

Fluid Dynamics · Physics 2016-09-19 Jonas T. Karlsen , Per Augustsson , Henrik Bruus

We introduce a novel artificial compressibility technique to approximate the incompressible Navier-Stokes equations with variable fluid properties such as density and dynamical viscosity. The proposed scheme used the couple pressure and…

Numerical Analysis · Mathematics 2025-04-22 Cappanera Loic , Giordano Salvatore

We present a novel immersed boundary method that implements acoustic perturbation theory to model an acoustically levitated droplet. Instead of resolving sound waves numerically, our hybrid method solves acoustic scattering…

Soft Condensed Matter · Physics 2024-03-22 Jacqueline B. Sustiel , David G. Grier

We investigate the propagation of inhomogeneous plane waves in poro-viscoelastic media, explicitly incorporating both velocity and attenuation anisotropy. Starting from classical Biot theory, we present a fractional differential equation…

Geophysics · Physics 2025-06-26 Lingli Gao , Weijian Mao , Qianru Xu , Wei Ouyang , Shaokang Yang , Shijun Cheng

Wave turbulence describes the long-time statistical behavior of out-of-equilibrium systems composed of weakly interacting waves. Non-Hermitian media ranging from open quantum systems to active materials can sustain wave propagation in…

We have derived the set of reference scaling parameters yielding collapse of isentropic acoustic and thermoacoustic (or heat-release-induced) waves across different pure compressible fluids with an assigned equation of state. The resulting…

Fluid Dynamics · Physics 2017-08-31 Mario Tindaro Migliorino , Carlo Scalo

We generalize the derivation of viscous anisotropic hydrodynamics from kinetic theory to allow for non-zero particle masses. The macroscopic theory is obtained by taking moments of the Boltzmann equation after expanding the distribution…

Nuclear Theory · Physics 2015-03-26 Dennis Bazow , Ulrich W. Heinz , Mauricio Martinez

A model for homogeneous anisotropic incompressible turbulence is proposed. The model generalizes the GISS model of homogeneous isotropic turbulence; the generalization involves the solution of the GISS equations along a set of integration…

Astrophysics · Physics 2015-06-24 Kristof Petrovay

A form of the conservation equations for fluid dynamics is presented, deduced using slightly less restrictive hypothesis than those necessary to obtain the Westervelt equation. This formulation accounts for full wave diffraction,…

Fluid Dynamics · Physics 2015-05-26 Roberto Velasco-Segura , Pablo L. Rendón

We seek the response, in particular the spectral absorptance, of a rigidly-backed periodically-(in one horizontal~~ direction) ~inhomogeneous ~layer ~composed ~of ~alternating rigid and macroscopically-homogeneous porous portions, submitted…

Applied Physics · Physics 2018-10-05 Armand Wirgin
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