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Automatic differentiation (AD) is a range of algorithms to compute the numeric value of a function's (partial) derivative, where the function is typically given as a computer program or abstract syntax tree. AD has become immensely popular…

Programming Languages · Computer Science 2023-05-16 Tom Schrijvers , Birthe van den Berg , Fabrizio Riguzzi

Suspensions of rodlike objects in a liquid are encountered in many areas of science and technology and the need to orientate them is extremely important to enhance or inhibit certain chemical reactions between them, other chemicals or with…

Fluid Dynamics · Physics 2009-11-19 C. Tannous

In this paper, we prove the local uniqueness of an inverse problem arising in the nonstationary flow of a nonhomogeneous incompressible asymmetric fluid in a bounded domain with smooth boundary. The direct problem is an initial-boundary…

Analysis of PDEs · Mathematics 2014-12-17 Aníbal Coronel , Marko Rojas-Medar

Deep reinforcement learning (DRL) has been applied to a variety of problems during the past decade, and has provided effective control strategies in high-dimensional and non-linear situations that are challenging to traditional methods.…

Fluid Dynamics · Physics 2023-04-07 Colin Vignon , Jean Rabault , Ricardo Vinuesa

In this paper, we introduce a unified framework for studying various cloud traffic management problems, ranging from geographical load balancing to backbone traffic engineering. We first abstract these real-world problems as a…

Networking and Internet Architecture · Computer Science 2016-02-04 Chen Feng , Hong Xu , Baochun Li

This article presents the idea and realization for the unique Adaptive Inflow Control System being a part of well completion, able to adjust to the changing in time production conditions. This system allows to limit the flow rate from each…

Variational flows allow practitioners to learn complex continuous distributions, but approximating discrete distributions remains a challenge. Current methodologies typically embed the discrete target in a continuous space - usually via…

Computation · Statistics 2024-02-27 Gian Carlo Diluvi , Benjamin Bloem-Reddy , Trevor Campbell

Typical topology optimization methods require complex iterative calculations, which cannot meet the requirements of fast computing applications. The neural network is studied to reduce the time of computing the optimization result, however,…

Computational Physics · Physics 2024-01-12 Ce Guan , Jianyu Zhang , Zhen Li , Yongbo Deng

It was shown in \cite{bloch2000optimal} that an optimal control formulation for incompressible ideal fluid flow yields Euler's equations. In this paper, we consider a variational obstacle-avoidance formulation for incompressible ideal flows…

Mathematical Physics · Physics 2026-05-01 Alexandre Anahory Simoes , Anthony Bloch , Leonardo Colombo

Mathematical modeling of fluid flow in a porous medium is usually described by a continuity equation and a chosen constitutive law. The latter, depending on the problem at hand, may be a nonlinear relation between the fluid's pressure…

Numerical Analysis · Mathematics 2023-01-04 Alessio Fumagalli , Francesco Saverio Patacchini

We present a novel framework to explore neural control and design of complex fluidic systems with dynamic solid boundaries. Our system features a fast differentiable Navier-Stokes solver with solid-fluid interface handling, a…

Fluid Dynamics · Physics 2024-11-04 Yifei Li , Yuchen Sun , Pingchuan Ma , Eftychios Sifakis , Tao Du , Bo Zhu , Wojciech Matusik

During the operation of industrial robots, unusual events may endanger the safety of humans and the quality of production. When collecting data to detect such cases, it is not ensured that data from all potentially occurring errors is…

Robotics · Computer Science 2023-11-09 Jan Thieß Brockmann , Marco Rudolph , Bodo Rosenhahn , Bastian Wandt

An optimal control problem described by the Hamilton-Jacobi-Bellman equation can be developed into a problem that can be solved by general computational fluid dynamics packages. We describe how this formulation would allow a classical…

Fluid Dynamics · Physics 2025-10-22 J. Pratt , M. Schneider , A. Perloff

We study the applicability of a Deep Neural Network (DNN) approach to simulate one-dimensional non-relativistic fluid dynamics. Numerical fluid dynamical calculations are used to generate training data-sets corresponding to a broad range of…

Computational Physics · Physics 2021-06-08 Kirill Taradiy , Kai Zhou , Jan Steinheimer , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Horst Stoecker

The purpose of this paper is to develop a practical strategy to accelerate Newton's method in the vicinity of singular points. We present an adaptive safeguarding scheme with a tunable parameter, which we call adaptive gamma-safeguarding,…

Numerical Analysis · Mathematics 2024-08-23 Matt Dallas , Sara Pollock , Leo G. Rebholz

Variational approaches have been used successfully as a strategy to take advantage from real data measurements. In several applications, this approach gives a means to increase the accuracy of numerical simulations. In the particular case…

Optimization and Control · Mathematics 2015-10-15 Telma Guerra , Adélia Sequeira , Jorge Tiago

Flows with deformable interfaces are commonly controlled by applying an external field or modifying the boundaries that interact with the fluid, but realizing such solutions can be demanding or impractical in various scenarios. Here, we…

Soft Condensed Matter · Physics 2025-03-28 Hugo França , Maziyar Jalaal

This position paper argues that optimization problem solving can transition from expert-dependent to evolutionary agentic workflows. Traditional optimization practices rely on human specialists for problem formulation, algorithm selection,…

Optimization and Control · Mathematics 2025-05-08 Wenhao Li , Bo Jin , Mingyi Hong , Changhong Lu , Xiangfeng Wang

Controlling fluidic flows in active droplets is crucial in developing intelligent models to understand and mimic single-celled microorganisms. Typically, these fluidic flows are affected by the interfacial dynamics of chemical agents. We…

Soft Condensed Matter · Physics 2024-05-10 Muhammad Turab Ali Khan , Gaurav Gardi , Ren Hao Soon , Mingchao Zhang , Metin Sitti

Fast, gradient-based structural optimization has long been limited to a highly restricted subset of problems -- namely, density-based compliance minimization -- for which gradients can be analytically derived. For other objective functions,…

Computational Engineering, Finance, and Science · Computer Science 2024-09-17 Keith J. Lee , Yijiang Huang , Caitlin T. Mueller