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We discuss the static force characteristic of annular gaps resulting from an axial flow component. So far there is a severe lack of understanding of the flow inside the annulus. First, the state-of-the-art modelling approaches to describe…

Fluid Dynamics · Physics 2022-06-15 Maximilian M. G. Kuhr , Sebastian R. Lang , Peter F. Pelz

The implementation and validation of the adaptive buffered force QM/MM method in two popular packages, CP2K and AMBER are presented. The implementations build on the existing QM/MM functionality in each code, extending it to allow for…

The numerical simulation of a flow through a duct requires an externally specified forcing that makes the fluid flow against viscous friction. To this aim, it is customary to enforce a constant value for either the flow rate (CFR) or the…

Fluid Dynamics · Physics 2015-06-19 Yosuke Hasegawa , Maurizio Quadrio , Bettina Frohnapfel

Analytical/quasi-analytical solutions are proposed for a steady, compressible, single-phase flow in a rectilinear duct subjected to heating followed by cooling. The flow is driven by the pressure ratio between an upstream tank and a…

Fluid Dynamics · Physics 2024-03-05 S Schropff , F Petitpas , E Daniel

We present a generalized form of open boundary conditions, and an associated numerical algorithm, for simulating incompressible flows involving open or outflow boundaries. The generalized form represents a family of open boundary…

Fluid Dynamics · Physics 2015-04-16 Suchuan Dong , Jie Shen

This work develops a polygonal finite element method (PFEM) for the analysis of steady-state and transient thermal stresses in two dimensional continua. The method employs Wachspress rational basis functions to construct conforming…

Numerical Analysis · Mathematics 2025-04-23 Yang Yang , Mingjiao Yan , Zongliang Zhang , Dengmiao Hao , Xuedong Chen , Weixiong Chen

We study the problem of mixing between core and annular flow in a pipe, examining the effect of a swirling core flow. Such flows are important across a range of applications, including jet pumps, combustion chambers and aerospace…

Fluid Dynamics · Physics 2018-10-17 GP Benham , IJ Hewitt , CP Please , P Bird

The lattice Boltzmann method (LBM) has shown its promising capability in simulating microscale gas flows. However, the suitable boundary condition is still one of the critical issues for the LBM to model microgaseous flows involving curved…

Computational Physics · Physics 2021-01-01 Liang Wang , Shi Tao , Junjie Hu , Kai Zhang , Gui Lu

A mathematical model for computation of the fluid pressure in a reservoir drained by a horizontal multiple fractured well is proposed. The model is applicable for an arbitrary network of fractures with different finite conductivities of…

Fluid Dynamics · Physics 2016-02-15 S. V. Golovin , K. A. Gadylshina

Multi-scale, multi-fidelity numerical simulations form the pillar of scientific applications related to numerically modeling fluids. However, simulating the fluid behavior characterized by the non-linear Navier Stokes equations are often…

A class of quasi-distribution evaluation criteria based on piecewise Bezier curves is proposed to address the issue of the inability to objectively evaluate finite element models. During the optimization design of mechanical parts, finite…

Numerical Analysis · Mathematics 2024-09-09 Runkai Wen , Yukun Chai , Lingxin Wang , Ruochen Du , Xingtian Long , Zhiyang Liu , Peng Wu , Yiduo Wang

The distribution of equivalent plastic strain through the thickness of several AISI 1020 steel plates formed under different conditions over a smooth cylindrical mandrel using a single-roller forward flow forming operation was studied by…

Classical Physics · Physics 2011-11-01 M. J. Roy , R. J. Klassen , J. T. Wood

In this paper we present a modeling approach to bridge the atomistic with macroscopic scales in crystalline materials. The methodology combines identification and modeling of the controlling unit processes at microscopic level with the…

Materials Science · Physics 2009-11-07 A. M. Cuitino , L. Stainier , G. Wang , A. Strachan , T. Cagin , W. A. Goddard , M. Ortiz

Compression experiments are widely used to study the mechanical properties of materials at micro- and nanoscale. However, the conventional engineering stress measurement method used in these experiments neglects to account for the…

Materials Science · Physics 2025-07-24 Jalal Smiri , Oguz Umut Salman , Matteo Ghidelli , Ioan R. Ionescu

Studying potential BSM effects at the precision frontier requires accurate transfer of information from low-energy measurements to high-energy BSM models. We propose to use normalising flows to construct likelihood functions that achieve…

High Energy Physics - Phenomenology · Physics 2023-09-20 Anja Beck , Méril Reboud , Danny van Dyk

Flow models have rapidly become the go-to method for training and deploying large-scale generators, owing their success to inference-time flexibility via adjustable integration steps. A crucial ingredient in flow training is the choice of…

We introduce a simple and efficient numerical method to compute mean curvature flow with obstacles. The method augments the Merrimam-Bence-Osher scheme with a pointwise update that enforces the constraint and therefore retains the…

Numerical Analysis · Mathematics 2025-12-19 Fabius Krämer , Tim Laux

Normalizing flows provide an elegant method for obtaining tractable density estimates from distributions by using invertible transformations. The main challenge is to improve the expressivity of the models while keeping the invertibility…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Avideep Mukherjee , Badri Narayan Patro , Vinay P. Namboodiri

The learning curve expresses the error rate of a predictive modeling procedure as a function of the sample size of the training dataset. It typically is a decreasing, convex function with a positive limiting value. An estimate of the…

Applications · Statistics 2012-03-14 Eric B. Laber , Kerby Shedden , Yang Yang

In material extrusion additive manufacturing, the extrusion process is commonly controlled in a feed-forward fashion. The amount of material to be extruded at each printing location is pre-computed by a planning software. This approach is…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Xavier Guidetti , Nathan Mingard , Raul Cruz-Oliver , Yannick Nagel , Marvin Rueppel , Alisa Rupenyan , Efe C. Balta , John Lygeros