A stratified dispersive wave model withhigh-order nonreflecting boundary conditions

Joolen, Vince Van; Neta, Beny; Givoli, Dan

doi:10.1016/j.camwa.2004.10.013

Cited by 10 publications

(3 citation statements)

References 27 publications

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“…We also allowed NRBC on all 4 sides of the lateral boundaries [15]. Later we have added advection and stratification [14,16,17]. In all these linear cases we have shown the benefit of high order NRBCs.…”

Section: Resultsmentioning

confidence: 99%

A Study of Lateral Boundary Conditions for the NRL's Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS)

Neta¹,

Givoli²

2003

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Award Number: N0001403WR20321 http://www.math.nps.navy.mil/~bneta LONG-TERM GOALSOur long-term goal is to improve lateral boundary conditions in local area models. OBJECTIVESThe treatment of lateral boundaries in regional models has been a perennial problem since the early days of numerical weather prediction. In a limited-area model the lateral edges are not physical boundaries of the flow but constitute artificial constraints imposed by computational considerations. Hence they do not have a physical counterpart. We must impose conditions at these artificial boundaries in order to solve the problem in an efficient and accurate manner. We have developed high order non-reflecting boundary conditions for the dispersive Klein-Gordon equation and the linearized shallow water equations. APPROACHThe treatment of lateral boundaries in regional models has been a perennial problem since the early days of numerical weather prediction. In a limited-area model, the lateral edges are not physical boundaries of the flow but constitute artificial constraints imposed by computational considerations. Hence they do not have a physical counterpart. We must impose conditions at these artificial boundaries in order to solve the problem in an efficient and accurate manner. Several good review papers were written on the topic of both actual and artificial boundary conditions. A general discussion was presented by Turkel [24], while a review of non-reflecting boundary conditions presenting the issue in a uniform manner is that of Givoli [5]. Non-reflecting boundary 1

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Section: Resultsmentioning

confidence: 99%

A Study of Lateral Boundary Conditions for the NRL's Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS)

Neta¹,

Givoli²

2003

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“…A important example where dispersive waves must be considered is that of meteorological models which take into account the Earth's rotation [4]. Recently, Joolen et al [5] have developed a new numerical scheme including high-order ABCs for dispersive waves which are based on Higdon's ABCs [6]. While it is possible to construct local ABCs easy to implement, their efficiency to damp spurious reflections often suffer from the corner problem.…”

Section: Introductionmentioning

confidence: 99%

New absorbing layers conditions for short water waves

Barucq

Diaz

Tlemcani

2010

Journal of Computational Physics

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a b s t r a c tWe develop a new PML formulation for the linearized shallow-water equations including the Coriolis force. The construction process is based on the uncoupling of the velocity components with the depth of water. Then the damping effect is only applied to the propagative modes just as was formerly done by Nataf [1] to the linearized Euler equations to enforce the long-time stability. We assess numerically the performance of the new absorbing condition and we illustrate in particular that it is stable for long-time simulations.

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“…The imposition of artificial contours and appropriate boundary conditions (BCs) is an aspect to be considered. Among many possibilities, one could use a non-reflecting BC, defined through pseudo-differential operators [1,2,3,4], or choose from a variety of approximate BCs, such as PMLs [5,6,7] or Absorbing Boundary Conditions (ABCs) [8,9,10,11,12,13]. In this work the Hagstrom-Warburton ABC [10,14] is chosen.…”

Section: Introductionmentioning

confidence: 99%

Equivalent Boundary Conditions for Heterogeneous Acoustic Media

Castro

Diaz

Péron

2014

Tend. Mat. Apl. Comput.

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ABSTRACT. In this work, we derive high order Equivalent Absorbing Boundary Conditions EABCs that model the propagation of waves in semi-infinite bilayered acoustic media. Our motivation is to restrict the computational domain in the simulation of seismic waves that are propagated from the earth and transmitted to the stratified heterogeneous media composed by ocean and atmosphere. These EABCs are adapted to Hagstrom-Warburton ABCs and appear as first and second order of approximation with respect to a small parameter involved in a multiscale expansion. Computational tests illustrate the accuracy of the first approximate model with respect to the small parameter.

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A stratified dispersive wave model withhigh-order nonreflecting boundary conditions

Cited by 10 publications

References 27 publications

A Study of Lateral Boundary Conditions for the NRL's Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS)

A Study of Lateral Boundary Conditions for the NRL's Coupled Ocean/Atmosphere Mesoscale Prediction System (COAMPS)

New absorbing layers conditions for short water waves

Equivalent Boundary Conditions for Heterogeneous Acoustic Media

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