Details

Autor(en) / Beteiligte

• Colombo, Stefano
• Re, Barbara

Titel

An ALE residual distribution scheme for the unsteady Euler equations over triangular grids with local mesh adaptation

Ist Teil von

• Computers & fluids, 2022-05, Vol.239, p.105414, Article 105414

Ort / Verlag

Amsterdam: Elsevier Ltd

Erscheinungsjahr

2022

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• This work presents a novel interpolation-free mesh adaptation technique for the Euler equations within the arbitrary Lagrangian–Eulerian framework. For the spatial discretization, we consider a residual distribution scheme, which provides a pretty simple way to achieve high order accuracy on unstructured grids. Thanks to a special interpretation of the mesh connectivity changes as a series of fictitious continuous deformations, we can enforce by construction the so-called geometric conservation law, which helps to avoid spurious oscillations while solving the governing equations over dynamic domains. This strategy preserves the numerical properties of the underlying, fixed-connectivity scheme, such as conservativeness and stability, as it avoids an explicit interpolation of the solution between different grids. The proposed approach is validated through the two-dimensional simulations of steady and unsteady flow problems over unstructured grids. •Innovative residual distribution scheme for adaptive triangular grids.•Arbitrary Lagrangian–Eulerian formulation used to avoid solution interpolation.•Geometric conservation law enforced by construction.•Well-suited scheme for unsteady inviscid flow problems with boundary movement.