NH-GOMO, an efficient and easily portable non-hydrostatic ocean model

<p>Numerical simulation of nonlinear gravity internal waves with non-hydrostatic ocean models, especially these which using the terrain-following sigma-coordinate, is challenging. The expensive computation cost, which is caused by the dynamic pressure Poisson solver in cases using fine grid resolution in both directions (horizontal and vertical), is the main reason. A non-hydrostatic ocean model named NH-GOMO is constructed based on a partially implicit finite difference scheme for the dynamic pressure and adopts an idea of “decimation and interpolation”. A significant optimization for the pressure Poisson solver, which brings no obvious accuracy loss, is obtained with these technologies. The automatic parallel operator library named OpenArray is used as the bottom layer of this model and make it easy to transport between different computing platforms. Accuracy and efficiency have been validated by several ideal test cases.</p>

Topological Properties of Parallel Series Language

Parallelism is a process by which a sequential string is broken down into a number of alphabets and used to speed up the acceptance of a string. To identify the parallelisable string, we have used parallel operator || and defined the language as parallel series languages. Algebraic and recognition properties of series parallel posets have been studied by Lodaya in [8]. In this paper, we have introduced finite and infinite parallel series language (parallel strings are connected sequentially). We have considered the set of all parallel series language as topological space and prefix order relation (poset relation) has been used to relate two parallel series strings. Topological concepts like limit, sequence, open set, closed set and basis for parallel series languages and their properties have been derived