activity
20082023
most citedPositivity-preserving flux limiters for high-order conservative schemes

258 citations · 1.3k across the 49 of their papers we have counts for

collaborators
Showing math.NAShow all

6 papers · 1 filter

math.NA2022★ 29 cited

Physics-informed neural networks for inverse problems in supersonic flows

Ameya D. Jagtap, Zhiping Mao, Nikolaus Adams +1

Accurate solutions to inverse supersonic compressible flow problems are often required for designing specialized aerospace vehicles. In particular, we consider the problem where we…

math.NA2020★ 24 cited

A low-dissipation shock-capturing framework with flexible nonlinear dissipation control

Yue Li, Lin Fu, Nikolaus A. Adams

In this work, a framework to construct arbitrarily high-order low-dissipation shock-capturing schemes with flexible and controllable nonlinear dissipation for convection-dominated…

math.NA2019★ 31 cited

Sparse Identification of Truncation Errors

Stephan Thaler, Ludger Paehler, Nikolaus A. Adams

This work presents a data-driven approach to the identification of spatial and temporal truncation errors for linear and nonlinear discretization schemes of Partial Differential Eq…

math.NA2017★ 4 cited

A consistent analytical formulation for volume-estimation of geometries enclosed by implicitly defined surfaces

Shucheng Pan, Xiangyu Hu, Nikolaus. A. Adams

We have derived an analytical formulation for estimating the volume of geometries enclosed by implicitly defined surfaces. The novelty of this work is due to two aspects. First we…

math.NA2017★ 8 cited

High-resolution transport of regional level sets for evolving complex interface networks

Shucheng Pan, Xiangyu Hu, Nikolaus A. Adams

In this paper we describe a high-resolution transport formulation of the regional level-set approach for an improved prediction of the evolution of complex interface networks. The…

math.NA2015★ 71 cited

A cut-cell finite volume - finite element coupling approach for fluid-structure interaction in compressible flow

Vito Pasquariello, Georg Hammerl, Felix Örley +5

We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on stagge…