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A mode parabolic equation method for resonantly interacted modes was developed. The flow of acoustic energy is conserved for the derived equations with an accuracy adequate to the used approximation. The testing calculations were done for…

Classical Physics · Physics 2014-08-06 M. Yu. Trofimov , S. B. Kozitskiy , A. D. Zakharenko

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the…

Analysis of PDEs · Mathematics 2018-10-12 Arkadz Kirshtein , James Brannick , Chun Liu

Energy flux is an acoustic propagation model that calculates the locally-averaged intensity without computing explicit eigenvalues or tracing rays. The energy flux method has so far only been used for two-dimensional problems that have…

Computational Physics · Physics 2022-04-04 Mark Langhirt , Charles Holland , Sheri Martinelli , Ying-Tsong Lin , Dan Brown

In this article, we propose a novel conservative diffuse-interface method for the simulation of immiscible compressible two-phase flows. The proposed method discretely conserves the mass of each phase, momentum and total energy of the…

Computational Physics · Physics 2020-06-11 Suhas S. Jain , Ali Mani , Parviz Moin

In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted diffusion problem where the flux across the interface…

Numerical Analysis · Mathematics 2022-06-15 Yuzhe Qin , Huaxiong Huang , Yi Zhu , Chun Liu , Shixin Xu

This paper extends energy flux methods to handle three-dimensional ocean acoustic environments, the implemented solution captures horizontally refracted incoherent acoustic intensity, and its required computational effort is predominantly…

Computational Physics · Physics 2025-06-05 Mark Langhirt , Charles Holland , Ying-Tsong Lin

In this work, a thermodynamically consistent and conservative diffuse-interface model for gas-liquid-solid multiphase flows is proposed. In this model, a novel free energy for the gas-liquid-solid multiphase flows is established according…

Fluid Dynamics · Physics 2025-04-09 Chengjie Zhan , Xi Liu , Zhenhua Chai , Baochang Shi

In this paper, exponential energy-preserving methods are formulated and analysed for solving charged-particle dynamics in a strong and constant magnetic field. The resulting method can exactly preserve the energy of the dynamics. Moreover,…

Numerical Analysis · Mathematics 2018-12-31 Bin Wang

We consider a coupled mode system where the effective propagation constants of localized modes are amenable to modulation. Starting from an unmodulated system where power transfer is heavily suppressed, we demonstrate that small, periodic…

Optics · Physics 2020-11-11 B. Jaramillo-Ávila , B. M. Rodríguez-Lara

Propagation of a weak probe pulse through a $\Lambda$ system in a resonant gain configuration is investigated. We employ the control field intensity that permits the amplification of probe pulse during propagation, without instability at…

Optics · Physics 2022-02-03 Nilamoni Daloi , Tarak Nath Dey

In this paper, we introduce a diffuse interface model for describing the dynamics of mixtures involving multiple (two or more) phases. The coupled hydrodynamical system is derived through an energetic variational approach. The total energy…

Analysis of PDEs · Mathematics 2014-02-24 J. Brannick , C. Liu , T. Qian , H. Sun

The primary contribution of this paper is to characterize the propagation of acoustic signal carrying information through any medium and the interaction of the travelling acoustic signal with the surrounding medium. We will use the concept…

Signal Processing · Electrical Eng. & Systems 2022-02-15 Indrakshi Dey

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

Derivation of governing equations for multiphase flow on the base of thermodynamically compatible systems theory is presented. The mixture is considered as a continuum in which the multiphase character of the flow is taken into account. The…

Fluid Dynamics · Physics 2018-11-21 Evgeniy Romenski , Alexander A. Belozerov , Ilya M. Peshkov

The dynamical control of energy transfer between interacting systems is fundamental in diverse applications related to physical, electronic and chemical processes. Recent developments show that noise may enhance or suppress power transfer…

Optics · Physics 2021-03-19 P. Bravo-Cassab , B. Jaramillo-Ávila , B. M. Rodríguez-Lara

We discuss a model for directed percolation in which the flux of material along each bond is a dynamical variable. The model includes a physically significant limiting case where the total flux of material is conserved. We show that the…

Disordered Systems and Neural Networks · Physics 2023-10-04 Barto Cucurull , Greg Huber , Kyle Kawagoe , Marc Pradas , Alain Pumir , Michael Wilkinson

To study acoustic wave propagation and the corresponding energy deposition in partially ionized plasmas, we use a two-fluid computational model that treats neutrals and charged particles (electrons and ions) as two separate fluids. This…

Plasma Physics · Physics 2021-04-26 Fan Zhang , Stefaan Poedts , Andrea Lani , Błażej Kuźma , Kris Murawski

In a simple system with periodic symmetric potential, the phase model under effect of strong multiplicative noise or periodic square wave, we found a giant response, in the form of directed flux, to an ultrasmall dc signal. The resulting…

Statistical Mechanics · Physics 2009-11-07 Saul L. Ginzburg , Mark A. Pustovoit

We present a complete analytical derivation of the equations used for stationary and nonstationary wave systems regarding resonant sound transmission and reflection described by the phenomenological Coupled-Mode Theory. We calculate the…

Classical Physics · Physics 2018-06-11 Theodoros T. Koutserimpas , Romain Fleury

We consider a dynamical system consisting of subsystems indexed by a lattice. Each subsystem has one conserved degree of freedom ("energy") the rest being uniformly hyperbolic. The subsystems are weakly coupled together so that the sum of…

Mathematical Physics · Physics 2012-09-11 Jean Bricmont , Antti Kupiainen
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