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Showing 1 to 20 of 24 for “"Time Integration Methods"”.
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Time integration methods for reactor kinetics.
Massachusetts Institute of Technology. Dept. of Nuclear Engineering. Thesis. 1972. Ph.D.
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Time Integration Methods for Large-scale Scientific Simulations
… of equations that require the use of numerical time integration methods to solve. Many problems of scientific interest exhibit stiff behavior for which implicit methods are favorable, however standard implicit methods are computationally expensive. They require the solution of one or more large …
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Monolithic and partitioned Rosenbrock-based time integration methods for dynamic substructure tests
Real-time testing with dynamic substructuring provides an efficient way to simulate the nonlinear dynamic behaviour of civil structures or mechanical facilities. In this technique, the test structure is divided onto two substructures: the relatively crucial substructure is tested physically and the …
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Advanced Time Integration Methods with Applications to Simulation, Inverse Problems, and Uncertainty Quantification
… seeks to advance forward and adjoint numerical time integration methodologies for the simulation and optimization of semi-discretized multiphysics partial differential equations (PDEs), and to estimate and control numerical errors via a goal-oriented a posteriori error framework. We extend …
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Efficient Time Stepping Methods and Sensitivity Analysis for Large Scale Systems of Differential Equations
… dissertation are the creation of new families of time integration methods for multiscale and multiphysics simulations, and the development of industrial-strengh tools for sensitivity analysis. This work develops novel implicit-explicit (IMEX) general linear time integration methods for …
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An evaluation of time integration schemes in the solution of contact problems
… attempts to achieve accurate and practical time integration schemes for contact problems. Towards this aim, this study proposes an analytical form of the solutions using the time integration schemes that can be used in the evaluation of different methods. Then, a simple velocity- and …
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Time Stepping Methods for Multiphysics Problems
… future states of the system and its evolution in time. This thesis investigates current methods in numerical time-stepping schemes, identifying a number of important features needed to speed up and increase the accuracy of the solutions. The focus is on developing new methods suitable for …
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Gait analysis for classification
… silhouettes of human walking motion. A suite of time-integration methods, spanning a range of coarseness of time aggregation and modeling of feature distributions, are applied to these image features to create a suite of gait sequence representations. Despite their simplicity, the resulting …
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Applying the Newmark Method to the Discontinuous Deformation Analysis
… that these damping effects could result from the time integration scheme. In this thesis two time integration methods are investigated: the forward Euler method and the Newmark method. The work begins by combining the Newmark method and the DDA. An integrated Newmark method is also developed, …
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Analysis of composite moving beams using higher order shear deformation theory
… where the relative support locations change with time and therefore the supports do not fall exactly at the nodes. An initially deformed overhang beam moving over two simple supports is used for the analysis. The first flexural mode shape of the beam is used as the initial shape of the beam. The …
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A Patankar Predictor-Corrector Approach for Positivity-Preserving Time Integration
… and often satisfy conservation laws. Standard time integration methods, including classical Runge-Kutta schemes, can violate these structural properties, leading to non-physical solutions. This thesis presents a novel positivity-preserving correction strategy applicable to general time …
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Qualitative and Quantitative Investigation of Planar Multibody Dynamics Encompassing GSSSS Family of Algorithms - A Novel In-depth Look
… prompted the development of a wide variety of time integration methods for the differential-algebraic equations (DAEs) inherent to these systems. The vast majority of these methods require refor- mulation of the natural index 3 equations of motion leading to additional computational cost and …
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Index and characteristic analysis of partial differential equations
… routines, robust backward difference formula time integration methods, guaranteed state event location algorithms, generation of analytical Jacobian information via automatic differentiation, efficient algorithms for consistent initialization that may also be used to analyze the index of the …
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A Finite-Element Coarse-GridProjection Method for Incompressible Flows
… discretizations as well as explicit time integration methods. In this article we present for the first time a version of CGP for finite element discretizations, which uses a semi-implicit time integration scheme. The mapping functions correspond to the finite-element shape functions. …
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Visualization for high-order discontinuous Galerkin CFD results
… therefore requiring more memory and rendering time. In some cases isotropic elements are not ideal in representing the solution (ie: boundary layers, shocks, wakes, etc.). Lastly, by providing an option to define the maximum visualization error allows the user to specify how close the …
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Acceleration Techniques for Industrial Large Eddy Simulation with High-Order Methods on CPU-GPU Clusters
… of the p-multigrid with larger physical time steps. In most steady cases, the preconditioned p-multigrid approach is comparable to or faster than the implicit LU-SGS algorithm and requires less memory, specially for p 2 schemes. An efficient implementation of the FR method is done for …
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Modeling, Sensitivity Analysis, and Optimization of Hybrid, Constrained Mechanical Systems
… variables due to an impulsive forces at the time of event. At the time of event, such system may also exhibit a change in the equations of motion or in the kinematic constraints. The analytical methodology that solves the sensitivities for hybrid systems is structured based on jumping …
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Exponential Integrators for the Incompressible Navier-Stokes Equations
… analysis of a high order projection scheme for time integration of the incompressible Navier-Stokes equations (NSE). The method is based on a projection onto the subspace of divergence-free (incompressible) functions interleaved with a Krylov-based exponential time integration (KBEI). These time …
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Simulation of nonisothermal and time-dependent viscoelastic flows
… has lead to the development of many numerical methods for the simulation of viscoelastic flows. The two main obstacles to the use of these tools in the quantitative analysis of polymer processing operations are the need for accurate constitutive equations and the computational efficiency of the …
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Polynomial-Based Methods for Time-Integration
… into two parts: The first introduces a new time integration framework that is based on interpolating polynomials, and the second extends exponential integration to the spectral deferred correction framework. Both parts discuss time integration methods that can be derived without solving …
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