Discontinuous Galerkin method for the shallow water equations on complex domains using masked block-structured grids

S Faghih-Naini, S Kuckuk, D Zint, S Kemmler… - Advances in Water …, 2023 - Elsevier
We evaluate masked block-structured grids for ocean domains which allow to represent
small-scale geometric features without resorting to very small blocks or excessive mesh …

Shallow water DG simulations on FPGAs: Design and comparison of a novel code generation pipeline

C Alt, T Kenter, S Faghih-Naini, J Faj… - … Conference on High …, 2023 - Springer
FPGAs are receiving increased attention as a promising architecture for accelerators in HPC
systems. Evolving and maturing development tools based on high-level synthesis promise …

p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator

S Faghih-Naini, V Aizinger - GEM-International Journal on …, 2022 - Springer
We propose a p-adaptive quadrature-free discontinuous Galerkin method for the shallow
water equations based on a computationally efficient adaptivity indicator which works …

Quadrature-free discontinuous Galerkin method with code generation features for shallow water equations on automatically generated block-structured meshes

S Faghih-Naini, S Kuckuk, V Aizinger, D Zint… - Advances in Water …, 2020 - Elsevier
Although discretizations of the shallow water equations (SWE) based on the discontinuous
Galerkin (DG) method are well established, their computational performance still generally …

Surface Structured Quadrilateral Mesh Generation Based on Topology Consistent‐Preserved Patch Segmentation

H Zhang, H Li, X Wu, N Li - International Journal for Numerical …, 2025 - Wiley Online Library
Surface‐structured mesh generation is an important part of the Computational Fluid
Dynamics (CFD) preprocessing stage. The traditional method cannot automatically divide …

Fast solvers for robust discretizations in computational fluid dynamics

P Matalon - 2021 - theses.hal.science
We consider a second-order, elliptic partial differential equation (PDE) discretized by the
Hybrid High-Order (HHO) method. HHO is a polyhedral method that handles arbitrary …

Towards whole program generation of quadrature-free discontinuous Galerkin methods for the shallow water equations

S Faghih-Naini, S Kuckuk, V Aizinger, D Zint… - arXiv preprint arXiv …, 2019 - arxiv.org
The shallow water equations (SWE) are a commonly used model to study tsunamis, tides,
and coastal ocean circulation. However, there exist various approaches to discretize and …

[PDF][PDF] Discrete mesh optimization on surface and volume meshes

D Zint, R Grosso, F Lunz - 28th …, 2020 - internationalmeshingroundtable.com
State of the art algorithms in surface mesh smoothing rely on computing new vertex
positions on approximated shapes and re-projecting the results back onto the real surface or …

Integrated computational environment for grid generation parallel technologies

V Il'in - International Conference on Parallel Computational …, 2020 - Springer
This paper is devoted to the conception and general structure of the integrated
computational environment for constructing multi-dimensional large grids (with 10^ 10 …

Block-Structured Grid Generation for High-Performance Ocean Simulation

D Zint - 2021 - search.proquest.com
In high‐performance computing, block‐structured grids are favored due to their geometric
adaptability while supporting computational performance optimizations connected with …