93 citations · 161 across the 11 of their papers we have counts for
17 papers
Incremental Model Order Reduction of Smoothed-Particle Hydrodynamic Simulations
Eduardo Di Costanzo, Niklas Kühl, Jean-Christophe Marongiu +1
Engineering simulations are usually based on complex, grid-based, or mesh-free methods for solving partial differential equations. The results of these methods cover large fields o…
Parameter-free shape optimization: various shape updates for engineering applications
Lars Radtke, Georgios Bletsos, Niklas Kühl +4
In the last decade, parameter-free approaches to shape optimization problems have matured to a state where they provide a versatile tool for complex engineering applications. Howev…
An Incremental Singular Value Decomposition Approach for Large-Scale Spatially Parallel & Distributed but Temporally Serial Data -- Applied to Technical Flows
Niklas Kühl, Hendrik Fischer, Michael Hinze +1
The paper presents a strategy to construct an incremental Singular Value Decomposition (SVD) for time-evolving, spatially 3D discrete data sets. A low memory access procedure for r…
Two-Phase Flow Simulations of Surface Waves in Wind-Forced Conditions
Malte Loft, Niklas Kühl, Marc P. Buckley +4
The paper is devoted to two-phase flow simulations and investigates the ability of a diffusive interface Cahn-Hilliard Volume-of-Fluid model to capture the dynamics of the air-sea…
Variational Quantum Algorithms for Computational Fluid Dynamics
Dieter Jaksch, Peyman Givi, Andrew J. Daley +1
Quantum computing uses the physical principles of very small systems to develop computing platforms which can solve problems that are intractable on conventional supercomputers. Th…
Application of p-Laplacian relaxed steepest descent to shape optimization in two-phase flows
Peter Marvin Müller, Martin Siebenborn, Thomas Rung
The paper is concerned with the minimal drag problem in shape optimization of merchant ships exposed to turbulent two-phase flows. Attention is directed to the solution of Reynolds…
A Scalable Algorithm for Shape Optimization with Geometric Constraints in Banach Spaces
Peter Marvin Müller, Jose Pinzon, Thomas Rung +1
This work develops an algorithm for PDE-constrained shape optimization based on Lipschitz transformations. Building on previous work in this field, the -Laplace operator is util…
Discrete Adjoint Momentum-Weighted Interpolation Strategies
Niklas Kühl, Thomas Rung
This Technical Note outlines an adjoint complement to a critical building block of pressure-based Finite-Volume (FV) flow solvers that employ a collocated variable arrangement to s…
Adjoint Node-Based Shape Optimization of Free Floating Vessels
Niklas Kühl, Thanh Tung Nguyen, Michael Palm +2
The paper is concerned with a node-based, gradient-driven, continuous adjoint two-phase flow procedure to optimize the shapes of free-floating vessels and discusses three topics. F…
Free surface flow through rigid porous media -- An overview and comparison of formulations
Wibke Düsterhöft-Wriggers, Antonia Larese, Thomas Rung +1
In many applications free surface flow through rigid porous media has to be modeled. Examples refer to coastal engineering applications as well as geotechnical or biomedical applic…
A Novel -Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization
Peter Marvin Müller, Niklas Kühl, Martin Siebenborn +3
We introduce a novel method for the implementation of shape optimziation in fluid dynamics applications, where we propose to use the shape derivative to determine deformation field…
Adjoint-based Shape Optimization for the Minimization of Flow-induced Hemolysis in Biomedical Applications
Georgios Bletsos, Niklas Kühl, Thomas Rung
This paper reports on the derivation and implementation of a shape optimization procedure for the minimization of hemolysis induction in biomedical devices. Hemolysis is a blood da…
Adjoint Complement to the Universal Momentum Law of the Wall
Niklas Kühl, Peter M. Müller, Thomas Rung
The paper is devoted to an adjoint complement to the universal Law of the Wall (LoW) for fluid dynamic momentum boundary layers. The latter typically follows from a strongly simpli…
Continuous Adjoint Complement to the Blasius Equation
Niklas Kühl, Peter M. Müller, Thomas Rung
The manuscript is concerned with a continuous adjoint complement to two-dimensional, incompressible, first-order boundary-layer equations for a flat plate boundary-layer. The text…
Adjoint Complement to the Volume-of-Fluid Method for Immiscible Flows
Niklas Kühl, Jörn Kröger, Martin Siebenborn +2
The paper is concerned with an adjoint complement to the Volume-of-Fluid (VoF) method for immiscible two-phase flows, e.g. air and water, which is widely used in marine engineering…
Cahn-Hilliard Navier-Stokes Simulations for Marine Free-Surface Flows
Niklas Kühl, Michael Hinze, Thomas Rung
The paper is devoted to the simulation of maritime two-phase flows of air and water. Emphasis is put on an extension of the classical Volume-of-Fluid (VoF) method by a diffusive co…
Decoupling of Control and Force Objective in Adjoint-Based Fluid Dynamic Shape Optimization
Niklas Kühl, Peter M. Müller, Arthur Stück +2
We discuss exterior and classical interior alternatives for evaluating fluid flow induced forces on bodies. The discussion aims at a reduction of the total shape derivative, achiev…