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High-fidelity flow boiling simulations are conducted in a vertical minichannel with offset strip fins (OSF) using R113 as a working fluid. Finite-element code PHASTA coupled with level set method for interface capturing is employed to model…

Fluid Dynamics · Physics 2022-11-21 Anna Iskhakova , Yoshiyuki Kondo , Koichi Tanimoto , Nam T. Dinh , Igor A. Bolotnov

Centralized trajectory optimization in the joint space of multiple robots allows access to a larger feasible space that can result in smoother trajectories, especially while planning in tight spaces. Unfortunately, it is often…

Robotics · Computer Science 2026-04-22 Simon Idoko , Prajyot Jadhav , Arun Kumar Singh

The stability of most surface-tension-driven interfacial flow simulations is governed by the capillary time-step constraint. This concerns particularly small-scale flows and, more generally, highly-resolved liquid-gas simulations with…

Fluid Dynamics · Physics 2024-10-24 Romain Janodet , Berend van Wachem , Fabian Denner

A new and effective computational approach is presented for analyzing transient heat conduction problems. The approach consists of a meshless Fragile Points Method (FPM) being utilized for spatial discretization, and a Local Variational…

Computational Engineering, Finance, and Science · Computer Science 2020-01-27 Yue Guan , Rade Grujicic , Xuechuan Wang , Leiting Dong , Satya N. Atluri

A new parallelized unsplit geometrical Volume of Fluid (VoF) algorithm with support for arbitrary unstructured meshes and dynamic local Adaptive Mesh Refinement (AMR), as well as for two and three dimensional computation is developed. The…

Fluid Dynamics · Physics 2013-05-16 Tomislav Maric , Holger Marschall , Dieter Bothe

This work presents the application of density-based topology optimisation to the design of three-dimensional heat sinks cooled by natural convection. The governing equations are the steady-state incompressible Navier-Stokes equations…

Fluid Dynamics · Physics 2018-09-14 Joe Alexandersen , Ole Sigmund , Niels Aage

The paper develops a method for the numerical simulation of a free-surface flow of incompressible viscous fluid around a streamlined body. The body is a rigid stationary construction partially submerged in the fluid. The application we are…

Wavelet-based grid adaptation methods use multiresolution analysis for error estimation, offering a mathematically rigorous approach to adaptive grid refinement when solving Partial Differential Equations (PDEs). However, applying these…

Numerical Analysis · Mathematics 2026-03-20 Changxiao Nigel Shen , Wim M. van Rees

We consider an interface problem often arising in transport problems: a coupled system of partial differential equations with one (elliptic) transport equation on a bounded domain and one equation (in this case the Laplace problem) on the…

Numerical Analysis · Mathematics 2016-05-24 Christoph Erath , Robert Schorr

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets…

Numerical Analysis · Mathematics 2016-01-20 Kosala Bandara , Thomas Rüberg , Fehmi Cirak

A finite-element method dependant adjoint-based procedure to determine the temperature field of structures based on measured displacements or strains and a set of standard loads is developed and tested. Given a series of force and…

This paper introduces multidimensional algorithms for simulating multiphase flows, leveraging the wave structure of the Euler equations in characteristic space and the physical properties of variables in physical space. The algorithm…

Fluid Dynamics · Physics 2026-04-07 Amareshwara Sainadh Chamarthi

We present a new fixed mesh algorithm for solving a class of interface inverse problems for the typical elliptic interface problems. These interface inverse problems are formulated as shape optimization prob- lems whose objective…

Numerical Analysis · Mathematics 2018-10-18 Ruchi Guo , Tao Lin , Yanping Lin

Federated edge learning (FEEL) is envisioned as a promising paradigm to achieve privacy-preserving distributed learning. However, it consumes excessive learning time due to the existence of straggler devices. In this paper, a novel…

Information Theory · Computer Science 2022-04-04 Shanfeng Huang , Zezhong Zhang , Shuai Wang , Rui Wang , Kaibin Huang

Mixed precision training (MPT) is becoming a practical technique to improve the speed and energy efficiency of training deep neural networks by leveraging the fast hardware support for IEEE half-precision floating point that is available in…

Machine Learning · Computer Science 2019-10-29 Ruizhe Zhao , Brian Vogel , Tanvir Ahmed

We consider a linear symmetric and elliptic PDE and a linear goal functional. We design and analyze a goal-oriented adaptive finite element method, which steers the adaptive mesh-refinement as well as the approximate solution of the arising…

Numerical Analysis · Mathematics 2024-01-12 Roland Becker , Gregor Gantner , Michael Innerberger , Dirk Praetorius

Boiling is a complex phenomenon where different non-linear physical interactions take place and for which the quantitative modeling of the mechanism involved is not fully developed yet. In the last years, many works have been published…

Fluid Dynamics · Physics 2022-05-23 Alfredo Jaramillo , Vinícius Pessoa Mapelli , Luben Cabezas-Gómez

Numerical solutions of high-speed microdroplet impact onto a smooth solid surface are computed, using the interFoam VoF solver of the OpenFOAM CFD package. Toward the solid surface, the liquid microdroplet is moving with an impinging gas…

Fluid Dynamics · Physics 2017-01-31 James Q. Feng

Accurately capturing and simulating multiscale systems is a formidable challenge, as both spatial and temporal scales can span many orders of magnitude. Rigorous upscaling methods not only ensure efficient computation, but also maintains…

Computational Physics · Physics 2025-04-15 Yinuo Noah Yao , Ilenia Battiato

The simulation of hypersonic flows is computationally demanding due to large gradients of the flow variables caused by strong shock waves and thick boundary or shear layers. The resolution of those gradients imposes the use of extremely…

Computational Physics · Physics 2014-10-16 Sarah Frauholz , Arianna Bosco , Birgit U. Reinartz , Siegfried Müller , Marek Behr