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A shape design problem for the Navier–Stokes flow with a convective boundary condition
In this study, a shape optimization problem for the two-dimensional stationary Navier–Stokes equations with an artificial boundary condition is...
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A universal identifier for communication channels
Pseudo-differential operators, viewed as superpositions of time-frequency shifts, are natural models for communication channels. Channel...
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Modeling and Numerical Simulation of Non-Linear FSI Systems for Energy Harvesting Based on Ocean Waves and Beams with Piezoelectric Patches
In this work, a numerical approach is adopted to solve the fluid-structure interaction (FSI) model for energy harvesting from ocean wave motion. A...
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Enhanced entropy generation and heat transfer characteristics of magnetic nano-encapsulated phase change materials in latent heat thermal energy storage systems
The objective of the current study is to investigate the importance of entropy generation and thermal radiation on the patterns of velocity,...
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Using Deep Neural Networks for Detecting Spurious Oscillations in Discontinuous Galerkin Solutions of Convection-Dominated Convection–Diffusion Equations
Standard discontinuous Galerkin finite element solutions to convection-dominated convection–diffusion equations usually possess sharp layers but also...
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Emergence of Self-Excited Oscillations in Flows of Inviscid Fluids in a Channel
AbstractThe mechanism of self-excited oscillations arising in an ideal incompressible fluid flowing through a rectangular channel is studied...
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Bidirectional Texture Function Modeling
An authentic material’s surface reflectance function is a complex function of over 16 physical variables, which are unfeasible both to measure and to...
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Development of Numerical Methodology for Unsteady Fluid–Solid Thermal Interaction in Multicomponent Flow Simulation
AbstractThis paper presents the current state of development of 3D methodology for numerical simulation of unsteady thermal interaction of fluid flow...
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Frictionless Signorini’s Contact Problem for Hyperelastic Materials with Interior Point Optimizer
This paper presents a method to solve the mechanical problems undergoing finite deformations and the contact problems without friction, between an...
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Residual Viscosity Stabilized RBF-FD Methods for Solving Nonlinear Conservation Laws
In this paper, we solve nonlinear conservation laws using the radial basis function generated finite difference (RBF-FD) method. Nonlinear...
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Generative Model of Autoencoders Self-Learning on Images Represented by Count Samples
AbstractThe paper substantiates the concept of autoencoders focused on automatic generation of compressed images. We propose a solution to the...
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Introduction
The goal of the first chapter is to present a brief motivation for the anisotropic mesh adaptation method and to illustrate its potential. We start...
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Enriched Finite Volume Approximations of the Plane-Parallel Flow at a Small Viscosity
We investigate viscous boundary layers of the plane-parallel flow, governed by the stationary Navier–Stokes equations under a certain symmetry....
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Quasi-Hydrodynamic Approach for Simulating Internal Wave Attractors
AbstractOn the example of the problem of modeling wave attractors in a stratified fluid, the advantages of the quasi-hydrodynamic (QHDFoam) algorithm...
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Selective withdrawal of a three-layer viscous fluid
Two dimensional, selective withdrawal of a three-layer fluid in a rectangular tank is considered. Each fluid is viscous, weakly compressible and...
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Numerical Simulation of Turbulent Flows Based on Modern Turbulence Models
AbstractThe new two-fluid turbulence model is compared with other RANS models for various turbulent flows: mixing of two flows, flow in a flat...
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Applications of Invasion Percolation
A highly important problem in engineering, physics, and chemistry is develo** efficient computational algorithms for studying complex phenomena....
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The Combined Effects of Wall Properties and Space Porosity on MHD Two-Phase Peristaltic Slip Transport Through Planar Channels
In this article, a theoretical investigation is analyzing the effects of the complaint wall properties, the slip conditions, the space porosity, and...
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Worked Out Problem 12: Navier-Stokes System for a Backward-Facing Step
In this chapter, we consider a vector steady nonlinear PDE modeling the Navier–Stokes system for an incompressible flow in a two-dimensional domain....
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Worked Out Problem 14: Unsteady Navier-Stokes Equations for Vortex Shedding Behind a Cylinder
In this chapter, we consider a vector time-dependent nonlinear PDE modeling the unsteady Navier-Stokes system for an incompressible flow in a...