scholarly journals Variational Iteration Solution to the Gravity Wave-Model Equations

2018 ◽  
Vol 1007 ◽  
pp. 012071
Author(s):  
Sudi Mungkasi ◽  
Leo Hari Wiryanto
2016 ◽  
Vol 142 (5) ◽  
pp. 06016003 ◽  
Author(s):  
Ricardo Martins ◽  
Jorge Leandro ◽  
Slobodan Djordjević

1990 ◽  
Vol 95 (D6) ◽  
pp. 7637 ◽  
Author(s):  
F. G. Canavero ◽  
F. Einaudi ◽  
E. R. Westwater ◽  
M. J. Falls ◽  
J. A. Schroeder ◽  
...  
Keyword(s):  

Author(s):  
S. Saha Ray ◽  
Shailendra Singh

The governing equations for fluid flows, i.e. Kadomtsev–Petviashvili–Benjamin–Bona–Mahony (KP-BBM) model equations represent a water wave model. These model equations describe the bidirectional propagating water wave surface. In this paper, an auto-Bäcklund transformation is being generated by utilizing truncated Painlevé expansion method for the considered equation. This paper determines the new bright soliton solutions for [Formula: see text] and [Formula: see text]-dimensional nonlinear KP-BBM equations. The simplified version of Hirota’s technique is utilized to infer new bright soliton solutions. The results are plotted graphically to understand the physical behavior of solutions.


Author(s):  
Young-Ha Kim ◽  
Gergely Bölöni ◽  
Sebastian Borchert ◽  
Hye-Yeong Chun ◽  
Ulrich Achatz

AbstractIn a companion paper, the Multi-Scale Gravity-Wave Model (MS-GWaM) has been introduced and its application to a global model as a transient subgrid-scale parameterization has been described. This paper focuses on the examination of intermittency of gravity waves (GWs) modeled by MS-GWaM. To introduce the variability and intermittency in wave sources, convective GW sources are formulated, using diabatic heating diagnosed by the convection parameterization, and they are coupled to MS-GWaM in addition to a flow-independent source in the extratropics accounting for GWs due neither to convection nor to orography. The probability density function (PDF) and Gini index for GWpseudomomentum fluxes are assessed to investigate the intermittency. Both are similar to those from observations in the lower stratosphere. The intermittency of GWs over tropical convection is quite high and found not to change much in the vertical. In the extratropics, where non-convective GWs dominate, the intermittency is lower than (comparable to) that in the tropics in the stratosphere (mesosphere), exhibiting a gradual increase with altitude. The PDFs in these latitudes seem to be close to the log-normal distributions. Effects of transient GW-mean-flow interactions on the simulated GWintermittency are assessed by performing additional simulations using the steady-state assumption in the GW parameterization. The intermittency of parameterized GWs over tropical convection is found to be overestimated by the assumption, whereas in the extratropics it is largely underrepresented. Explanation and discussion of these effects are included.


2008 ◽  
Vol 13 (3) ◽  
pp. 327-348 ◽  
Author(s):  
Raimondas Čiegis ◽  
Mindaugas Radziunas ◽  
Mark Lichtner

Sequential and parallel algorithms for the simulation of the dynamics of high‐power semiconductor lasers is presented. The model equations describing the multisection broad–area semiconductors lasers are solved by the finite difference scheme, which is constructed on staggered grids. This nonlinear scheme is linearized applying the predictor‐corrector method. The algorithm is implemented by using the ParSol tool of parallel linear algebra objects. For parallelization we adopt the domain partitioning method, the domain is split along the longitudinal axis. Results of computational experiments are presented, the obtained speed‐up and efficiency of the parallel algorithm agree well with the theoretical scalability analysis.


2002 ◽  
Vol 45 (S1) ◽  
pp. 167-174
Author(s):  
Jiyao Xu ◽  
Ruiping Ma ◽  
A. K. Smith
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