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Format: 1 online resource (262 pages) : , illustrations (some color).

Edition: 1st ed.

ISBN: 91-7519-068-0

Series Statement: Linköping Studies in Science and Technology. Dissertation, Number 1666

Note: Intro -- I Prologue -- Introduction -- Motivation -- Research Questions -- Research Process -- Contributions -- Delimitations -- List of Publications -- Thesis Outline -- Part I -- Part II -- Part III -- Part IV -- Part VI -- Background -- The Modelica Modeling and Simulation Language -- The OpenModelica Development Environment -- Mathematical Concepts -- ODE and DAE Representation -- ODE and DAE Numerical Integration Methods -- Partial Differential Equations (PDEs) -- PDE Solving Software -- Causalization of Equations -- Sorting Example -- Sorting Example with Modelica Model -- Conversion to Causal Form in Two Steps -- Algebraic Loops -- Compiler Structure -- Compilation and Simulation of Modelica Models -- Multi-Core Computing -- Graphics Processing Units (GPUs) -- The Fermi Architecture -- CUDA -- OpenCL -- OpenACC -- Previous Research -- Early Work with Compilation of Mathematical Models to Parallel Executable Code -- Task Scheduling and Clustering Approach -- Task Graphs -- Modpar -- Inlined and Distributed Solver Approach -- Distributed Simulation using Transmission Line Modeling -- PDE Modeling with Modelica -- Related Research in other Research Groups -- II Parallel Simulation of Equation-Based Models on Graphics Processing Units -- Simulation of Equation-Based Models on the CELL BE Processor Architecture -- The Cell BE Processor Architecture -- Implementation -- Measurements -- Discussion -- Simulation of Equation-Based Models with Quantized State Systems on Graphics Processing Units -- Quantized State Systems (QSS) -- Restricted Set of Modelica Models -- Implementation -- Measurements -- Discussion -- Simulation of Equation-Based Models on Graphics Processing Units Utilizing Task Graph Creation -- Case Study -- Implementation -- Runtime Code and Generated Code -- Measurements -- Discussion. , Compilation of Modelica Array Computation into Single Assignment C for Execution on Graphics Processing Units -- Single Assignment C (SAC) -- Implementation -- Measurements -- Discussion -- Extending the Algorithmic Subset of Modelica with Explicit Parallel Programming Constructs for Multi-Core Simulation -- Implementation -- Parallel Variables -- Parallel Functions -- Kernel Functions -- Parallel For-Loops -- OpenCL Functionalities -- Synchronization and Thread Management -- Measurements -- Discussion -- Compilation of Unexpanded Modelica Array Equations -- Introduction -- Problems with Expanding Array Equations -- Splitting For-Equations with Multiple Equations in their Bodies -- Algorithm -- Examples -- Transforming For-Equations and Array Equations into Slice Equations -- Algorithm -- Examples -- Matching and Sorting of Unexpanded Array Equations -- Algorithm -- Examples -- Discussion -- III Partial Differential Equation Modeling with Modelica via FMI Import of C++ Components -- Partial Differential Equation Modeling with Modelica via FMI Import of C++ Components -- Introduction -- Simulation Scenario 1: Heat Equation -- Computing the Temperature Distribution -- Proportional-Integral-Derivative (PID) Controller -- Simulation Scenario 2: Elasticity Equation -- Linear Elasticity Model -- Coupled Implementation -- The HiFlow3 Finite Element Library -- The Functional Mock-Up Interface -- Simulation Overview for Simulation Scenario 1 -- HiFlow3-based PDE Component - Simulation Scenario 1 -- Modelica Model 1 -- Modelica Model 2 -- Parallelization Concept -- Parallel Execution of the Model -- Measurements -- Discussion -- IV Using Parallel Skeletons from Modelica -- Using Parallel Skeletons from Modelica -- Introduction -- Motivation -- SkePU - Autotunable Multi-Back-end Skeleton Programming Framework for Multi-Core CPU and Multi-GPU Systems. , Containers -- User Functions -- Skeletons -- Use Cases -- Use Case 1: Main1 -- Use Case 2: SPH Fluid Dynamics -- Implementation -- Modelica-SkePU Library -- OpenModelica Compiler Extensions -- Implementation Status -- Measurements -- System Settings -- Modelica-SkePU Test Suite Models - Serial -- Modelica-SkePU Test Suite Models - Parallel -- Discussion -- V Epilogue -- Discussion -- What Kind of Problems are Graphics Processing Units Suitable for? -- Are Graphics Processing Units Suitable for Simulating Equation-Based Modelica Models? -- Discussion on the Various Approaches of Simulating Modelica Models on GPUs -- Discussion on Modeling of Partial Differential Equations Modeling with Modelica -- Discussion on Skeletons and Parallel Patterns in the context of Modelica -- Future Work -- Simulation of Modelica Models on GPUs -- PDE Modeling with Modelica -- Skeleton and Parallel Pattern Programming in the Context of Modelica -- Overview of the FastFlow Parallel Pattern Framework -- VI Appendix -- QSS Generated CUDA Code -- Partial Differential Equation Modeling with Modelica via FMI Import of HiFlow3 C++ Components -- Modelica-SkePU Library Code -- Modelica-SkePU Library Code -- Modelica-SkePU Test Suite Models - Serial -- Modelica-SkePU Test Suite Models - Parallel -- Modelica-SkePU Library Code -- Modelica-SkePU Test Suite Models -- Basic SkePU Models -- Mandelbrot Fractals -- LU Factorization -- Mean Square Error (MSE) -- Pearson Product-Moment Correlation Coefficient (PPMCC) -- Peak Signal to Noise Ratio (PSNR) -- Taylor Series Calculation -- Smooth Particle Hydrodynamics (SPH), Fluid Dynamics Shocktube simulation -- A Runge-Kutta ODE solver -- Glossary -- Tom sida.

Language: English