sedimentation is one of the most important problems in harbors that results in considerable economic costs. harbor planforms affects the flow pattern in the harbor basin and consequently, plays an important role in sediment transport and sedimentation. in the present study, a two dimensional depth-averaged hydrodynamic and sediment transport model has been developed to investigate the effect of...

Chinmay Khandekar,1 Weiliang Jin,1 Owen D. Miller,2 Adi Pick,3 and Alejandro W. Rodriguez1 1Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA 2Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA 3Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA (Received 13 November 2015; r...

A new method modifying the frequency dependent alternating direction implicit finite difference time domain (FD–ADI– FDTD) is presented. The method can improve the accuracy of FD–ADI–FDTD without significant increase of computational costs. The proposed method is validated by numerical tests. Index Terms ADI–FDTD, Debye media, Accuracy of FDTD

We consider new high-order Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection-diffusion equations with cross derivative terms. Our approach is based on the unconditionally stable ADI scheme proposed by Hundsdorfer [12]. Different numerical discretizations which lead to schemes which are fourth-order accurate in space and sec...

We provide an overview of our work to date on the parallelization of implicit time domain methods, in particular the alternating direction implicit finite-difference time-domain method (ADI-FDTD). First we describe a domain decomposition scheme for parallel ADI-FDTD in three dimensions that is suitable for implementation on widely available high performance computer architectures such as symmet...

In this paper, a new algorithm for solving cross-coupled sign-indefinite algebraic Riccati equations (CSAREs) for weakly coupled large-scale systems is proposed. It is shown that since the proposed algorithm is based on the Newton’s method, the quadratic convergence is attained. Moreover, the local uniqueness of the convergence solutions for the CSAREs is investigated. Finally, in order to over...

In this paper, an alternating implicit block method for solving two dimensional scalar wave equation is presented. The new method consist of two stages for each time step implemented in alternating directions which are very simple in computation. To increase the speed of computation, a group of adjacent points is computed simultaneously. It is shown that the presented method increase the maximu...

There is currently a regain of interest in the Alternating Direction Implicit (ADI) algorithms as preconditioners for iterative methods for solving large sparse linear systems, because of their suitability for parallel computing. However, the classical ADI iteration is not directly applicable to Finite Element (FE) matrices, tends to converge too slowly for 3-D problems, and the selection of ad...

This paper presents the formulation, the analysis and the implementation of Alternating Direction Implicit (ADI) methods for solving the linear system of algebraic equations that arise from the discretization of multidimensional linear elliptic Partial Diierential Equations (PDEs). The theoretical analysis is carried out for a board class of PDE problems. Numerical experiments connrm the theore...

An alternating direction implicit (ADI) three-dimensional fluid parabolic equation solution method with enhanced accuracy is presented. The method uses a square-root Helmholtz operator splitting algorithm that retains cross-multiplied operator terms that have been previously neglected. With these higher-order cross terms, the valid angular range of the parabolic equation solution is improved. T...