Parallel Tool for Solution of Multiphase Flow Problems

Radziunas

2010

Self Cite

Abstract. We consider a system of 1 + 2 dimensional partial differential equations which describes dynamics of edge-emitting broad area semiconductor lasers and amplifiers. The given problem is defined on the unbounded domain. After truncating this domain and defining an auxiliary 1 + 1 dimensional linear Schrödinger problem supplemented with different artificial boundary conditions, we propose an effective strategy allowing to get a solution of the full problem with a satisfactory precision in a reasonable time. For further speed up of the numerical integration, we develop a parallel version of the algorithm.

Section: Parallel Numerical Algorithm For the Full Tw Modelmentioning

confidence: 99%

Effective Numerical Integration of Traveling Wave Model for Edge‐emitting Broad‐area Semiconductor Lasers and Amplifiers

Radziunas

2010

Self Cite

“…The parallel algorithm was implemented by using the mathematical objects library ParSol [14]. This tool not only implements some important linear algebra objects in C++, but also allows to parallelize semi-automatically data parallel algorithms, similarly to HPF.…”

Section: Computational Experimentsmentioning

confidence: 99%

“…The new tool ParSol is targeted for implementation of numerical algorithms in C++ and semi-automatic parallelization of these algorithms on distributed memory parallel computers including clusters of PCs [14]. The library is available on Internet at http://techmat.vgtu.lt/~alexj/ParSol/.…”

mentioning

confidence: 99%

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Numerical Algorithms for Simulation of Multisection Lasers by Using Traveling Wave Model

Radziunas

Lichtner

2008

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Abstract. 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.

“…The mathematical models for multiphase flow and heat transfer in porous media were described in many papers and books (see [4,5,7] and references cited in these works). Our group is working on a software tool for solution of multiphase flow problems -MfsolverC++ [5,6]. We are using an objectoriented approach and robust numerical methods to create an extensible and flexible toolbox.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Upwind and High‐resolution Schemes for Solving Convection Dominated Problems in Porous Media

Starikovičius

2006

The conservation laws governing the multiphase flows in porous media are often convection‐dominated and have a steep fronts that require accurate resolution. Standard discretization methods of the convection terms do not perform well for such problems. The main aim of this work is to analyze the use of upwind and high‐ resolution schemes in such cases. First, we use a first differential approximation method to perform a theoretical analysis of a standard upwind approximation and different time stepping schemes for the linear hyperbolic equations in 1‐ and 2D. Next, we present a popular approach to reduce the amount of numerical diffusion introduced by upwind approximation ‐ high‐resolution schemes. We compare our implementation of one of the recently proposed central‐upwind schemes against the upwind schemes on several test problems based on Buckley‐Leverett equation and discuss the results. Finally, a parallel version of central‐upwind scheme in 2D is presented. It was implemented using our C++ library of parallel arrays ‐ ParSol.