ExaQUte: D5.3 Report on theoretical work to allow the use of MLMC with adaptive mesh refinement
Visualitza/Obre
10.23967/exaqute.2021.2.002
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/347120
Tipus de documentReport de recerca
Data publicació2020-05-30
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-CompartirIgual 3.0 Espanya
Abstract
This documents describes several studies undertaken to assess the applicability of MultiLevel Monte Carlo (MLMC) methods to problems of interest; namely in turbulent fluid flow over civil engineering structures. Several numerical experiments are presented wherein the convergence of quantities of interest with mesh parameters are studied at different Reynolds’ numbers and geometries. It was found that MLMC methods could be used successfully for low Reynolds’ number flows when combined with appropriate Adaptive Mesh Refinement (AMR) strategies. However, the hypotheses for optimal MLMC performance were found to not be satisfied at higher turbulent Reynolds’ numbers despite the use of AMR strategies. Recommendations are made for future research directions based on these studies. A tentative outline for an MLMC algorithm with adapted meshes is made, as well as recommendations for alternatives to MLMC methods for cases where the underlying assumptions for optimal MLMC performance are not satisfied.
CitacióAyoul-Guilmard, Q. [et al.]. ExaQUte: D5.3 Report on theoretical work to allow the use of MLMC with adaptive mesh refinement. 2020. DOI 10.23967/exaqute.2021.2.002.
URL repositori externhttps://www.scipedia.com/public/Ayoul-Guilmard_et_al_2021e
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
31783694.pdf | 2,848Mb | Visualitza/Obre |