High‐order methods for low Reynolds number flows around moving obstacles based on universal meshes

Gawlik, Evan S.; Kabaria, Hardik; Lew, Adrian J.

doi:10.1002/nme.4891

Title: High‐order methods for low Reynolds number flows around moving obstacles based on universal meshes

Journal Article · Thu Mar 26 00:00:00 EDT 2015 · International Journal for Numerical Methods in Engineering

DOI:https://doi.org/10.1002/nme.4891· OSTI ID:1400702

Gawlik, Evan S. ^[1]; Kabaria, Hardik ^[2]; Lew, Adrian J. ^[3]

Computational and Mathematical Engineering Stanford University CA USA
Mechanical Engineering Stanford University CA USA
Computational and Mathematical Engineering Stanford University CA USA, Mechanical Engineering Stanford University CA USA

Summary We propose a family of methods for simulating two‐dimensional incompressible, low Reynolds number flow around a moving obstacle whose motion is prescribed. The methods make use of a universal mesh: a fixed background mesh that adapts to the geometry of the immersed obstacle at all times by adjusting a few elements in the neighborhood of the obstacle's boundary. The resulting mesh provides a conforming triangulation of the fluid domain over which discretizations of any desired order of accuracy in space and time can be constructed using standard finite element spaces together with off‐the‐shelf time integrators. We demonstrate the approach by using Taylor‐Hood elements to approximate the fluid velocity and pressure. To integrate in time, we consider implicit Runge‐Kutta schemes as well as a fractional step scheme. We illustrate the methods and study their convergence numerically via examples that involve flow around obstacles that undergo prescribed deformations. Copyright © 2015 John Wiley & Sons, Ltd.

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Sponsoring Organization:: USDOE

OSTI ID:: 1400702

Journal Information:: International Journal for Numerical Methods in Engineering, Journal Name: International Journal for Numerical Methods in Engineering Vol. 104 Journal Issue: 7; ISSN 0029-5981

Publisher:: Wiley Blackwell (John Wiley & Sons)Copyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 7 works

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