Automatic penalty and degree continuation for parallel pre-conditioned mesh curving on virtual geometry

11/14/2022
by   Eloi Ruiz-Gironés, et al.
0

We present a distributed parallel mesh curving method for virtual geometry. The main application is to generate large-scale curved meshes on complex geometry suitable for analysis with unstructured high-order methods. Accordingly, we devise the technique to generate geometrically accurate meshes composed of high-quality elements. To this end, we advocate for degree continuation on a penalty-based second-order optimizer that uses global tight tolerances to converge the distortion residuals. To reduce the method memory footprint, waiting time, and energy consumption, we combine three main ingredients. First, we propose a matrix-free GMRES solver pre-conditioned with successive over-relaxation by blocks to reduce the memory footprint three times. We also propose an adaptive penalty technique, to reduce the number of non-linear iterations. Third, we propose an indicator of the required linear solver tolerance to reduce the number of linear iterations. On thousands of cores, the method curves meshes composed of millions of quartic elements featuring highly stretched elements while matching a virtual topology.

READ FULL TEXT

page 21

page 25

page 29

page 30

page 32

page 33

research
05/10/2019

Non-Conforming Mesh Refinement for High-Order Finite Elements

We propose a general algorithm for non-conforming adaptive mesh refineme...
research
09/19/2023

Stabilizer-free polygonal and polyhedral virtual elements

Stabilizer-free P_k virtual elements are constructed on polygonal and po...
research
01/04/2019

High-order curvilinear hybrid mesh generation for CFD simulations

We describe a semi-structured method for the generation of high-order hy...
research
03/21/2023

Combining high-order metric interpolation and geometry implicitization for curved r-adaption

We detail how to use Newton's method for distortion-based curved r-adapt...
research
01/07/2019

A semi-structured approach to curvilinear mesh generation around streamlined bodies

We present an approach for robust high-order mesh generation specially t...
research
09/21/2021

Conditioning of a Hybrid High-Order scheme on meshes with small faces

We conduct a condition number analysis of a Hybrid High-Order (HHO) sche...
research
12/14/2018

Parallel and Scalable Heat Methods for Geodesic Distance Computation

In this paper, we propose a parallel and scalable approach for geodesic ...

Please sign up or login with your details

Forgot password? Click here to reset