arrow
Return

A Markov Matrix Iterative Splitting Algorithm for Incompressible Flow

delete2025-12-15
delete0
PRE
AI
M
Manuel A. Ramírez-Cabrera
E
Eduardo Ramos
M
Manira Saucedo
P
Patricio J. Valadés-Pelayo
DOI:10.1016/j.compfluid.2025.106943delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
• Developed and tested a novel Monte Carlo Method for the Incompressible Navier-Stokes Equations • The method is efficient and highly parallelizable, with error dropping linearly and CPU time scaling (almost) linearly with spatial resolution. • Operator-splitting with Markov matrices yields an accurate and versatile Monte Carlo Method. • Considering a Multi-Level Monte Carlo approach accelerates steady-state convergence. • Non-conforming obstacles are handled by tagging some Random Walkers within the mask.

Journal

C
Computers and Fluids
IF:
3
Papers:
333
Citations:
1.4W

Organization

C
col. centro
Scholars:
37
Papers: 15
Citations: 0