Meshless Methods for Fluid Flow Simulations in Complex Domains

March 9, 2025
Partially online virtual and in person at George Washington University, Washington, DC, USA (from 9 AM to 4 PM)

Many industrial flows require solutions of the Navier-Stokes equations in complex domains. Currently, unstructured grid finite volume and the finite element methods are commonly used to simulate such flows. These methods require a grid to be first generated on which the equations are discretized. Grid properties such as control volume aspect ratio and element skewness play an important role in discretization accuracy. Meshless methods are based on discretizing derivatives at scattered points without connecting them with edges, faces and volumes. The advantages of meshless methods include high accuracy, adaptive local refinement, and simpler code.

This short course will describe the basics of interpolation, discretization of the flow and heat transfer equations, and their efficient solution at scattered points. The short course will describe algorithms for heat conduction, incompressible flows, and multi-material domains. A Fourier spectral method to conduct LES/DNS in periodic geometries, and a multilevel technique will be described. Code snippets for interpolation, discretization, and solving the nonlinear coupled equations will be provided.

WHO SHOULD ATTEND

This short course will be of interest to all CFD researchers interested in learning theory and applications of meshless methods for multidimensional, multiphysics simulations. The course will discuss both heat transfer and incompressible fluid flow simulations. Practicing engineers and graduate students pursuing mathematical modeling for multidisciplinary simulations will benefit from this new approach.

Instructor(s)

PRATAP VANKA