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PUBLICATIONS

Direct Lagrangian Forcing Methods Based on Moving Least Squares

Published

Author(s)

Marcos Vanella, Elias Balaras

Abstract

The application of computational fluid dynamics to complex engineering flow problems necessitates the adoption of numerical algorithms that are accurate, robust and efficient at the same time. These are usually conflicting requirements and there is still debate in the scientific community when it comes to the selection of the best method for a specific field of applications. In this chapter, we will discuss a cost-efficient strategy to simulate fluid flow problems in complex configurations with large boundary displacements and/or deformations. It utilizes a direct forcing, immersed boundary formulation, where the body is represented by a Lagrangian grid, and the equations governing the fluid flow are solved on a structured or block-structured Cartesian grid. The forcing function is evaluated using moving least squares. The main advantage of this strategy compared to other direct-forcing schemes is versatility, as it decouples the local discretization from the computation of the forcing function and, therefore, can be implemented into structured or unstructured codes in a straightforward manner. In addition, it is very robust in dealing with collisions of multiple bodies. The forcing function is built and appropriately scaled based on the contributions of all bodies in the vicinity of an Eulerian point without special treatments.
Citation
Immersed Boundary Method, Computational Methods in Engineering and the Sciences
Publisher Info
Springer Nature Singapore Pte Ltd., Singapore,
Pub Type
Books

Keywords

Immersed Boundary Method, Viscous Flow Simulation, Wall modeling, Moving boundaries
Numerical methods and software, Modeling and simulation research and Fire modeling

Citation

Vanella, M. and Balaras, E. (2020), Direct Lagrangian Forcing Methods Based on Moving Least Squares, Springer Nature Singapore Pte Ltd., Singapore, (Accessed March 14, 2025)

Issues

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Created May 15, 2020, Updated March 4, 2025