No Cover Image

Journal article 37 views

Accurate iteration-free mixed-stabilised formulation for laminar incompressible Navier–Stokes: Applications to fluid–structure interaction / Chennakesava Kadapa; Wulf Dettmer; Djordje Peric

Journal of Fluids and Structures, Volume: 97, Start page: 103077

Swansea University Authors: Chennakesava, Kadapa, Wulf, Dettmer, Djordje, Peric

  • Accepted Manuscript under embargo until: 3rd July 2021

Abstract

Stabilised mixed velocity–pressure formulations are one of the widely-used finite element schemes for computing the numerical solutions of laminar incompressible Navier–Stokes. In these formulations, the Newton–Raphson scheme is employed to solve the nonlinearity in the convection term. One fundamen...

Full description

Published in: Journal of Fluids and Structures
ISSN: 0889-9746
Published: Elsevier BV 2020
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa54677
Tags: Add Tag
No Tags, Be the first to tag this record!
Abstract: Stabilised mixed velocity–pressure formulations are one of the widely-used finite element schemes for computing the numerical solutions of laminar incompressible Navier–Stokes. In these formulations, the Newton–Raphson scheme is employed to solve the nonlinearity in the convection term. One fundamental issue with this approach is the computational cost incurred in the Newton–Raphson iterations at every load/time step. In this paper, we present an iteration-free mixed finite element formulation for incompressible Navier–Stokes that preserves second-order temporal accuracy of the generalised-alpha and related schemes for both velocity and pressure fields. First, we demonstrate the second-order temporal accuracy using numerical convergence studies for an example with a manufactured solution. Later, we assess the accuracy and the computational benefits of the proposed scheme by studying the benchmark example of flow past a fixed circular cylinder. Towards showcasing the applicability of the proposed technique in a wider context, the inf–sup stable P2–P1 pair for the formulation without stabilisation is also considered. Finally, the resulting benefits of using the proposed scheme for fluid–structure interaction problems are illustrated using two benchmark examples in fluid-flexible structure interaction.
Keywords: Incompressible Navier–Stokes, SUPG/PSPG stabilisation, Newton–Raphson scheme, Fluid–structure interaction
Start Page: 103077