A Mathematical Model for Two‐Phase Flow in Confined Environments: Numerical Solution and Validation
We present a numerical framework based on the Cahn‐Hilliard‐Navier‐Stokes (CHNS) model to simulate biphasic flow in confined environments. After deriving the mathematical model, we develop the weak form of the system of PDEs using a pedagogical approach to enable its implementation in FEniCS.
Giuseppe Sciumè +3 more
wiley +1 more source
New solutions of multidimensional fuzzy fractional coupled Burgers systems via He Laplace Carson algorithm. [PDF]
Qayyum M +6 more
europepmc +1 more source
Numerical and Analytical Study of Elastic Parameters in Linearized Micropolar Elasticity
ABSTRACT The effect of elastic parameters in the linearized theory of micropolar elasticity on observable deformation is analyzed analytically and numerically. Specifically, a shear deformation boundary value problem is studied to explore the physical implications of a micropolar formulation. Our new analytical solution for the two‐dimensional shearing
Lucca Schek, Wolfgang H. Müller
wiley +1 more source
Dynamical description and analytical study of traveling wave solutions for generalized Benjamin-Ono equation. [PDF]
Hassaballa AA +5 more
europepmc +1 more source
Physics‐Based Machine Learning for Modeling Cyclic Damage Evolution
ABSTRACT Accurate modeling of cyclic damage evolution is essential for predicting the long‐term performance and durability of engineering materials and structures. Traditional simulation‐based approaches, while physically rigorous, are computationally expensive, especially under complex loading histories.
Elsayed S. Elsayed +2 more
wiley +1 more source
A Generalization Error Bound of Physics‐Informed Neural Networks for Ecological Diffusion Models
ABSTRACT Ecological diffusion equations (EDEs) are partial differential equations (PDEs) that model spatiotemporal dynamics, often applied to wildlife diseases. Derived from ecological mechanisms, EDEs are useful for forecasting, inference, and decision‐making, such as guiding surveillance strategies for wildlife diseases.
Juan Francisco Mandujano Reyes +4 more
wiley +1 more source
Exploring the chaotic, sensitivity and wave patterns to the dual-mode resonant Schrödinger equation: application in optical engineering. [PDF]
Muhammad J, Younas U, Yar M.
europepmc +1 more source
The purpose of this paper is to establish a heat transfer simulation method for magnetic hyperthermia that incorporates the heat generation characteristics of low curie point thermo‐sensitive magnetic particles and their relative position to a Drive coil that applies the magnetic field.
Kazuna Sato, Kazutaka Mitobe
wiley +1 more source
Efficient numerical analysis of nonlinear liquid dispersion pattern drops using Taylor wavelet collocation. [PDF]
El-Hady MA, El-Gamel M, Kashwaa Y.
europepmc +1 more source

