Results 161 to 170 of about 223,865 (275)

Active training of physics-informed neural networks to aggregate and interpolate parametric solutions to the Navier-Stokes equations. [PDF]

J Comput Phys, 2021
Arthurs CJ, King AP.
europepmc   +1 more source

A Comparative Study of Context‐Aware Modeling Approaches for Specific Heat Load Profiles for Residential Consumers in District Heating Simulations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Accurate, time‐resolved heat load profiles are essential for realistic district heating simulations, enabling optimized network operation and long‐term transformation planning. In this work, we systematically evaluate modeling approaches for generating such profiles, comparing data‐driven methods (e.g., regression and machine learning) with ...
Johanna Heidrich, Nicolas Krummenauer, Jan Mohring   +2 more
wiley   +1 more source

A Comprehensive Comparison of Different Reynolds-Averaged Navier-Stokes Turbulence Models in Modeling Turbulent Plane Jets. [PDF]

ACS Omega
Zou S, Xiao J, Chen XD.
europepmc   +1 more source

CFD‐Based and Control‐Oriented Modeling of a Counterflow Heat Exchanger With Utilization of Parameter Identification

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Counterflow heat exchangers (CHXs) thermally couple consumers and producers to a district heating network (DHN). Fluctuating loads and control actions naturally lead to unsteady operation conditions of the network and its components, posing a challenge for DHN models and CHX parameterizations based on Nusselt correlations that assume steady ...
Marten Klein, Chao Tang, Max Rose, Jaßper Weichmann, Heiko Schmidt, Hannes Gernandt   +5 more
wiley   +1 more source

Physics-Informed Neural Network for Modeling the Pulmonary Artery Blood Pressure from Magnetic Resonance Images: A Reduced-Order Navier-Stokes Model. [PDF]

Biomedicines
Jara S, Sotelo J, Ortiz-Puerta D, Estévez PA, Uribe S, Chabert S, Salas R.   +6 more
europepmc   +1 more source

Mass Transport of a Two Phase Flow Through a Converging Gap With One Moving Wall

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Mechanical seals are designed to separate two fluid phases from each other, exemplified by the separation of ambient air and hydraulic oil in hydraulic cylinder applications. These seals necessarily include a converging gap, even at a microscopic level.
Matthias Graf, Tobias Lankenau, Prakhar Rathore   +2 more
wiley   +1 more source

The Navier-Stokes problem. Solution of a millennium problem related to the Navier-Stokes equations

Modern Mathematical Methods
The goal of this paper is to present the author's results concerning the Navier-Stokes problem (NSP) in \(\mathbb{R}^3\) without boundaries. It is proved that the NSP is contradictory in the following sense: Assume (for simplicity only) that the ...
Alexander Ramm
doaj  

Chaos in Stochastic 2d Galerkin-Navier-Stokes. [PDF]

Commun Math Phys
Bedrossian J, Punshon-Smith S.
europepmc   +1 more source

Block‐Structured Meshing in Coupled Problems With Moving Domains

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Structured mesh generation is a delicate task in (multi‐physics) simulations on moving domains. For a given geometry, such meshes may be generated based on a block‐structure: This is a coarse‐scale representation of the geometry using blocks with the exact geometry and desired grading information assigned to the block edges. Based on the block‐
Teresa Schalk, Thomas‐Peter Fries
wiley   +1 more source

Twisting vortex lines regularize Navier-Stokes turbulence. [PDF]

Sci Adv
Buaria D, Lawson JM, Wilczek M.
europepmc   +1 more source