Discrete Adjoint Momentum-Weighted Interpolation Strategies

TL;DR

This paper develops an adjoint Momentum-Weighted Interpolation strategy to improve pressure-velocity coupling in finite-volume flow solvers for incompressible fluids, emphasizing its benefits and implementation considerations.

Contribution

It introduces an adjoint MWI technique for pressure-velocity coupling, extending primal methods and analyzing its advantages and implementation challenges.

Findings

Adjoint MWI enhances pressure-velocity coupling in FV flow solvers.

Careful implementation is crucial for the effectiveness of adjoint MWI.

The study demonstrates the potential benefits of adjoint MWI in fluid simulations.

Abstract

This Technical Note outlines an adjoint complement to a critical building block of pressure-based Finite-Volume (FV) flow solvers that employ a collocated variable arrangement to simulate virtually incompressible fluids. The focal point is to strengthen the adjoint pressure-velocity coupling by using an adjoint Momentum-Weighted Interpolation (MWI) strategy. To this end, analogies of established primal MWI techniques are derived and investigated. The study reveals the merits of an adjoint MWI but also highlights the importance of its careful implementation.