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Showing 1 to 10 of 10 for “"Richardson Extrapolation"”.
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Residual-based Discretization Error Estimation for Computational Fluid Dynamics
… grid level compared to the more commonly used Richardson extrapolation which requires at least two. Reducing the required number of grid levels reduces computational expense and, since only one grid level is required, can be applied to unstructured grids where multiple quality grid levels are …
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Statistical Modeling of Simulation Errors and Their Reduction via Response Surface Techniques
… noise magnification problem associated with the Richardson extrapolation. The RS model is shown to be more efficient than Richardson extrapolation via careful use of design of experiments. A programming error caused inaccurate optimization results for the Rosenbrock test function, while …
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High Accuracy Fitted Operator Methods for Solving Interior Layer Problems
… of these approximation methods via methods like Richardson extrapolation. Having met these three objectives, we then extended our approach to solve singularly perturbed two-point boundary value problems with variable diffusion coefficients and analogous time-dependent PDEs. Careful analyses …
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Robust computational methods for two-parameter singular perturbation problems
… due to the ease of operating on uniform meshes. Richardson extrapolation is applied on one of the tted mesh nite di erence method (those based on Shishkin mesh) as well as on the tted operator nite di erence method in order to improve the accuracy and/or the order of convergence. This is our main …
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Error Transport Equations for Unsteady Discontinuous Applications
… the local DE in a solution. Historically, Richardson extrapolation has been a mainstay for DE estimation due to its simplicity and effectiveness. However, the method's feasibility diminishes with increasing computational demands, particularly in large-scale and high-dimensional problems. …
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CFD Analyses of Flow Structures in Air-Ingress and Rod Bundle Problems
… at the downstream of the rod bundle problem. Richardson extrapolation is used for the grid independent study. Simulation results give good agreements with the experiments. Wavelet analysis and Proper Orthogonal Decomposition (POD) are used to study the flow behaviors and flow patterns. For the …
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Efficient variable mesh techniques to solve interior layer problems
… of these approximation methods via methods like Richardson extrapolation. Then we extend these two ideas to solve such singularly perturbed TPBVPs with variable diffusion coefficients. The overall approach is further extended to parabolic singularly perturbed problems having constant as well as …
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Extrapolation-based Discretization Error and Uncertainty Estimation in Computational Fluid Dynamics
… discretization uncertainty estimators based on Richardson extrapolation for computational fluid dynamics problems. In order to evaluate the estimators, the exact solution should be known. A select set of solutions to the 2D Euler equations with known exact solutions are used to evaluate the …
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The mathematical modelling and numerical solution of options pricing problems
… method achieves basis point accuracy and that Richardson extrapolation can also be applied.
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Numerical Studies of the Jet Interaction Flowfield with a Main Jet and an Array of Smaller Jets
… error was calculated through a modified Richardson extrapolation to be low. The numerical solutions were compared to the experimental results in order to assess the capability of RANS equations and of first-order turbulence models to properly simulate the complex flowfield. The k-w …