Abstract. The purpose of this paper is twofold: to give a brief yet comprehensive description of the spectral element and semi-Lagrangian methods, and to introduce a new method arrived at by fusing both of these impressive methods. The practical aspects of both methods are described in detail by their implementation on the 2D shallow water equations. These equations have been used customarily t...

salinity of soil and water is the most important agricultural hazard in arid and semi-aridregions. in saline soils, yield production directly influences by soluble salts in the root zone aswell as by shallow water table depth. the first step for reclamation of such soils is reducingsalinity to optimum level by leaching. the objective of this study was to develop a practicalmodel to estimate wat...

We present an asymptotic preserving (AP), large time-step scheme for the shallow water equations in the low Froude number limit. Based on a multiscale asymptotic expansion, the momentum fluxes are split into a nonstiff and a stiff part. A semi-implicit discretisation, where the nonstiff terms are treated explicitly and stiff terms implicitly in time, is crucial to achieve the AP property. A com...

The YPA project is building a system to make the information in classified directories more accessible. BT's Yellow Pages ®1 provides an example of a classified database with which this work would be useful. There are two reasons for doing this: (i) directories like Yellow Pages contain much useful but hard-to-access information, especially in the free text in semi-display advertisements; (ii) ...

Different techniques for estimating seasonal water use from soil profile water depletion frequently do not account for flux below the root zone. Shallow water table contribution to supply crop water use may be important in arid and semi-arid regions. Development of predictive root uptake models, under influence of shallow water table makes it possible for planners to incorporate interaction bet...

This article uses two separate approaches to find reliable and estimated solutions for the weakly nonlinear shallow-water wave model, which explains these waves are spreading in a thin dispersive medium. Exact achieved by utilizing an expanded tanh expansion Adomian decomposition (ADM.). We also evaluate demonstrate how closely they are; all convincing persuasive partial differential equations.

A critical step in developing type-II superlattice (T2SL) based LWIR focal plane array (FPA) technology is to achieve high performance levels in FPA pixel-sized devices having 20-40 μm pitch. At this scale, device performance tends to be limited by surface effects along mesa sidewalls which are etched to provide pixel isolation. While control of surface leakage has been achieved for MWIR T2SLs,...

In this paper we combine the Laplace transform (LT) scheme with a semiLagrangian advection scheme, and implement it in a shallow water model. It is compared to a reference model using the semi-implicit (SI) scheme, with both Eulerian and Lagrangian advection. We show that the LT scheme is accurate and computationally competitive with these reference schemes. We also show, both analytically and ...

Aim of this study is to present robust numerical methods for shallow water equations permitting to correctly predict long water-wave phenomena. A semi-intrusive and polynomialchaos based method are coupled with a residual based distribution scheme by considering several sources of uncertainties in the simulation of a long wave runup on a conical island. Stochastic results are assessed by compar...