Highly accurate surface and volume integration on implicit domains by means of moment‐fitting

B Müller, F Kummer, M Oberlack - International Journal for …, 2013 - Wiley Online Library
We introduce a new method for the numerical integration over curved surfaces and volumes
defined by a level set function. The method is based on the solution of a small linear system …

High-order quadrature methods for implicitly defined surfaces and volumes in hyperrectangles

RI Saye - SIAM Journal on Scientific Computing, 2015 - SIAM
A high-order accurate numerical quadrature algorithm is presented for the evaluation of
integrals over curved surfaces and volumes which are defined implicitly via a fixed …

Automatic heliostat learning for in situ concentrating solar power plant metrology with differentiable ray tracing

M Pargmann, J Ebert, M Götz… - Nature …, 2024 - nature.com
Concentrating solar power plants are a clean energy source capable of competitive
electricity generation even during night time, as well as the production of carbon-neutral …

Fully-coupled balanced-force VOF framework for arbitrary meshes with least-squares curvature evaluation from volume fractions

F Denner, BGM van Wachem - Numerical Heat Transfer, Part B …, 2014 - Taylor & Francis
A fully-coupled balanced-force numerical framework for two-phase flows with surface
tension on arbitrary collocated meshes is presented, including a novel method to evaluate …

Numerical investigation of minimum drag profiles in laminar flow using deep learning surrogates

LW Chen, BA Cakal, X Hu, N Thuerey - Journal of Fluid Mechanics, 2021 - cambridge.org
Efficiently predicting the flow field and load in aerodynamic shape optimisation remains a
highly challenging and relevant task. Deep learning methods have been of particular …

A high‐order discontinuous Galerkin method for compressible flows with immersed boundaries

B Müller, S Krämer‐Eis, F Kummer… - … Journal for Numerical …, 2017 - Wiley Online Library
We present a higher order discretization scheme for the compressible Euler and Navier–
Stokes equations with immersed boundaries. Our approach makes use of a discontinuous …

High-order quadrature on multi-component domains implicitly defined by multivariate polynomials

RI Saye - Journal of Computational Physics, 2022 - Elsevier
A high-order quadrature algorithm is presented for computing integrals over curved surfaces
and volumes whose geometry is implicitly defined by the level sets of (one or more) …

Stay cable tension estimation of cable‐stayed bridge under limited information on cable properties using artificial neural networks

LX Le, DM Siringoringo, H Katsuchi… - Structural Control and …, 2022 - Wiley Online Library
This paper proposes a framework for estimating tensions of stay cables of cable‐stayed
bridge with and without lateral attachments under limited information on cable properties …

Robust network alignment via attack signal scaling and adversarial perturbation elimination

Y Zhou, Z Zhang, S Wu, V Sheng, X Han… - Proceedings of the Web …, 2021 - dl.acm.org
Recent studies have shown that graph learning models are highly vulnerable to adversarial
attacks, and network alignment methods are no exception. How to enhance the robustness …

Spurious currents in finite element based level set methods for two‐phase flow

S Zahedi, M Kronbichler… - International Journal for …, 2012 - Wiley Online Library
SUMMARY A study of spurious currents in continuous finite element based simulations of
the incompressible Navier–Stokes equations for two‐phase flows is presented on the basis …