The Explicit Richardson Extrapolation Method for Two-Dimensional Fisher-KPP Equation

2021 ◽  
Vol 11 (09) ◽  
pp. 1649-1656
Author(s):  
志君 李
Keyword(s):  
Richardson Extrapolation ◽  
Extrapolation Method ◽  
Two Dimensional ◽  
Kpp Equation ◽  
Richardson Extrapolation Method

ASSESSMENT OF RICHARDSON EXTRAPOLATION METHOD IN THE CFD MESH CONVERGENCE PROCESS

2016 ◽  
Author(s):  
Zilmara Zamyla da Silva Almeida ◽  
Yuri da Silva Pereira ◽  
Elmo de Sena Ferreira Júnior ◽  
Sávio Vianna
Keyword(s):  
Richardson Extrapolation ◽  
Extrapolation Method ◽  
Convergence Process ◽  
Richardson Extrapolation Method ◽  
Mesh Convergence

scholarly journals Application of Richardson extrapolation method to the CFD simulation of vertical-axis wind turbines and analysis of the flow field

2019 ◽  
Vol 13 (1) ◽  
pp. 359-376 ◽  
Author(s):  
Andrés Meana-Fernández ◽  
Jesús Manuel Fernández Oro ◽  
Katia María Argüelles Díaz ◽  
Mónica Galdo-Vega ◽  
Sandra Velarde-Suárez
Keyword(s):  
Flow Field ◽  
Wind Turbines ◽  
Cfd Simulation ◽  
Vertical Axis ◽  
Richardson Extrapolation ◽  
Extrapolation Method ◽  
Vertical Axis Wind Turbines ◽  
Richardson Extrapolation Method

Inclusion of Model Errors in Reliability-Based Optimization

2006 ◽  
Vol 128 (4) ◽  
pp. 936-944 ◽  
Author(s):  
Sankaran Mahadevan ◽  
Ramesh Rebba
Keyword(s):  
Computational Models ◽  
Approximation Error ◽  
Richardson Extrapolation ◽  
Model Errors ◽  
Form Error ◽  
Reliability Based Design Optimization ◽  
Reliability Based Design ◽  
Model Form ◽  
Reliability Based Optimization ◽  
Richardson Extrapolation Method

This paper proposes a methodology to estimate errors in computational models and to include them in reliability-based design optimization (RBDO). Various sources of uncertainties, errors, and approximations in model form selection and numerical solution are considered. The solution approximation error is quantified based on the model itself, using the Richardson extrapolation method. The model form error is quantified based on the comparison of model prediction with physical observations using an interpolated resampling approach. The error in reliability analysis is also quantified and included in the RBDO formulation. The proposed methods are illustrated through numerical examples.

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