# Continuous adjoint complement to the Blasius equation

@article{Khl2020ContinuousAC, title={Continuous adjoint complement to the Blasius equation}, author={Niklas K{\"u}hl and Peter Marvin M{\"u}ller and Thomas Rung}, journal={Physics of Fluids}, year={2020} }

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 is structured into three parts. The first part demonstrates, that the adjoint complement can be derived in two ways, either following a first simplify then derive or a first derive and then simplify strategy. The simplification step comprises the classical boundary-layer (b.-l.) approximation and the derivation step…

## 6 Citations

### Adjoint Complement to the Universal Momentum Law of the Wall

- PhysicsFlow, Turbulence and Combustion
- 2021

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 simplified,…

### Adjoint-based shape optimization for the minimization of flow-induced hemolysis in biomedical applications

- EngineeringEngineering Applications of Computational Fluid Mechanics
- 2021

This paper reports on the derivation and implementation of a shape optimization procedure for the minimization of hemolysis induction in blood flows through biomedical devices.Despite the significant…

### Analytic Adjoint Solution for the 2D Incompressible Euler Equations and the Mesh Divergence of Adjoint Solutions

- MathematicsAIAA AVIATION 2022 Forum
- 2022

### Adjoint node-based shape optimization of free-floating vessels

- EngineeringStructural and Multidisciplinary Optimization
- 2022

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. First, we aim to…

### Analytic adjoint solutions for the 2-D incompressible Euler equations using the Green's function approach

- Computer ScienceJournal of Fluid Mechanics
- 2022

The Green's function approach of Giles and Pierce is used to build the lift and drag based analytic adjoint solutions for the two-dimensional incompressible Euler equations around irrotational base flows, and the drag-based adjoint solution turns out to have a very simple closed form in terms of the flow variables.

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