TY - CHAP AB - Solving partial differential equations on unstructured grids is a cornerstone of engineering and scientific computing. Nowadays, heterogeneous parallel platforms with CPUs, GPUs, and FPGAs enable energy-efficient and computationally demanding simulations. We developed the HighPerMeshes C++-embedded Domain-Specific Language (DSL) for bridging the abstraction gap between the mathematical and algorithmic formulation of mesh-based algorithms for PDE problems on the one hand and an increasing number of heterogeneous platforms with their different parallel programming and runtime models on the other hand. Thus, the HighPerMeshes DSL aims at higher productivity in the code development process for multiple target platforms. We introduce the concepts as well as the basic structure of the HighPerMeshes DSL, and demonstrate its usage with three examples, a Poisson and monodomain problem, respectively, solved by the continuous finite element method, and the discontinuous Galerkin method for Maxwell’s equation. The mapping of the abstract algorithmic description onto parallel hardware, including distributed memory compute clusters, is presented. Finally, the achievable performance and scalability are demonstrated for a typical example problem on a multi-core CPU cluster. AU - Alhaddad, Samer AU - Förstner, Jens AU - Groth, Stefan AU - Grünewald, Daniel AU - Grynko, Yevgen AU - Hannig, Frank AU - Kenter, Tobias AU - Pfreundt, Franz-Josef AU - Plessl, Christian AU - Schotte, Merlind AU - Steinke, Thomas AU - Teich, Jürgen AU - Weiser, Martin AU - Wende, Florian ID - 21587 KW - tet_topic_hpc SN - 0302-9743 T2 - Euro-Par 2020: Parallel Processing Workshops TI - HighPerMeshes – A Domain-Specific Language for Numerical Algorithms on Unstructured Grids ER - TY - JOUR AU - Alhaddad, Samer AU - Förstner, Jens AU - Groth, Stefan AU - Grünewald, Daniel AU - Grynko, Yevgen AU - Hannig, Frank AU - Kenter, Tobias AU - Pfreundt, Franz‐Josef AU - Plessl, Christian AU - Schotte, Merlind AU - Steinke, Thomas AU - Teich, Jürgen AU - Weiser, Martin AU - Wende, Florian ID - 24788 JF - Concurrency and Computation: Practice and Experience KW - tet_topic_hpc SN - 1532-0626 TI - The HighPerMeshes framework for numerical algorithms on unstructured grids ER - TY - CONF AB - In scientific computing, unstructured meshes are a crucial foundation for the simulation of real-world physical phenomena. Compared to regular grids, they allow resembling the computational domain with a much higher accuracy, which in turn leads to more efficient computations.
There exists a wealth of supporting libraries and frameworks that aid programmers with the implementation of applications working on such grids, each built on top of existing parallelization technologies. However, many approaches require the programmer to introduce a different programming paradigm into their application or provide different variants of the code. SYCL is a new programming standard providing a remedy to this dilemma by building on standard C ++17 with its so-called single-source approach: Programmers write standard C ++ code and expose parallelism using C++17 keywords. The application is
then transformed into a concrete implementation by the SYCL implementation. By encapsulating the OpenCL ecosystem, different SYCL implementations enable not only the programming of CPUs but also of heterogeneous platforms such as GPUs or other devices. For the first time, this paper showcases a SYCL-
based solver for the nodal Discontinuous Galerkin method for Maxwell’s equations on unstructured meshes. We compare our solution to a previous C-based implementation with respect to programmability and performance on heterogeneous platforms.