Publications

This report provides documentation for the Sandia Toolkit (STK) modules. STK modules are intended to provide infrastructure that assists the development of computational engineering software such as finite-element analysis applications. STK includes modules for unstructured-mesh data structures, reading/writing mesh files, geometric proximity search, and various utilities. This document contains a chapter for each module, and each chapter contains overview descriptions and usage examples. Usage examples are primarily code listings which are generated from working test programs that are included in the STK code-base. A goal of this approach is to ensure that the usage examples will not fall out of date.

The use of p-, and ℎp-nonconformal interfaces enables greater geometric flexibility in performing computational science simulations, especially when relying on efficient tensor-product-based high-order Summation-by-Parts element schemes. For high-speed compressible computational fluid dynamics, the underlying numerical method must be conservative such that the discretization of the governing equations satisfies the Rankine Hugoniot relations. This paper extends the conservative nonconformal interface method of [1] to Summation-by-Parts elements with face quadratures of degree less than 2p, specifically allowing which allows the use of tensor-product elements on the Legendre-Gauss-Lobatto nodes, which are accurate up to degree 2p − 1. This formulation does not satisfy the inner-product preservation property of [1], but nonetheless remains conservative, entropy stable, and free-stream preserving. Mathematical theory is developed to determine the required accuracy of the mortar grid quadrature rule, and numerical results verify the mathematical results.

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Abstract not provided.