Results 61 to 70 of about 54,046 (227)

Space‐Time Modeling and Numerical Simulations of Non‐Newtonian Fluids Using Internal Variables

International Journal for Numerical Methods in Fluids, EarlyView.
Based on Hamilton's principle, the study focuses on a novel strategy for the modeling of non‐Newtonian fluids with the help of internal variables. Here, the viscosity evolves locally in space and time. Three configurations are numerically implemented, namely channel flow, a benchmark, and a lid‐driven cavity.
Philipp Junker, Thomas Wick
wiley   +1 more source

The Discretization‐Corrected Particle Strength Method for the Barotropic Vorticity Equations

International Journal for Numerical Methods in Fluids, EarlyView.
Numerical solution for the barotropic vorticity equation in complex geometry using the meshless point collocation method. The spatial domain is represented by a set of nodes. The collocation method numerically solves the strong form governing equations.
G. C. Bourantas, A. Sakellarios, N. Malamos, V. C. Loukopoulos, V. N. Burganos, K. Miller, A. Langousis, D. I. Fotiadis, A. A. Dimas, V. M. Calo   +9 more
wiley   +1 more source

Incremental Model Order Reduction of Smoothed‐Particle Hydrodynamic Simulations

International Journal for Numerical Methods in Fluids, EarlyView.
The paper presents the development of an incremental singular value decomposition strategy for compressing time‐dependent particle simulation results, addressing gaps in the data matrices caused by temporally inactive particles. The approach reduces memory requirements by about 90%, increases the computational effort by about 10%, and preserves the ...
Eduardo Di Costanzo, Niklas Kühl, Jean‐Christophe Marongiu, Thomas Rung   +3 more
wiley   +1 more source

Modelling the drying of single droplets of aqueous solutions of lactose and of maltodextrin

Journal of Chemical Technology &Biotechnology, EarlyView.
Abstract The average temperature of shrinking droplets is obtained from an enthalpy balance considering convection to or from the surroundings and cooling due to evaporation of solvent from the surface. This unique application of the fully implicit backward scheme captures the moisture values at all nodes in the grid, including at the centre and outer ...
Mohd Rosdan Faridatul Ain, Tariq Mahmud, Peter John Heggs, Muzammil Ali   +3 more
wiley   +1 more source

Global and microlocal aspects of Dirac operators: Propagators and Hadamard states

Mathematische Nachrichten, EarlyView.
Abstract We propose a geometric approach to construct the Cauchy evolution operator for the Lorentzian Dirac operator on Cauchy‐compact globally hyperbolic 4‐manifolds. We realize the Cauchy evolution operator as the sum of two invariantly defined oscillatory integrals—the positive and negative Dirac propagators—global in space and in time, with ...
Matteo Capoferri, Simone Murro
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar, Khaled A. Gepreel, Reham M. A. Shohib, Yakup Yildirim   +3 more
wiley   +1 more source

Existence of Weak Solutions for a Degenerate Goursat‐Type Linear Problem

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT For a generalization of the Gellerstedt operator with mixed‐type Dirichlet boundary conditions to a suitable Tricomi domain, we prove the existence and uniqueness of weak solutions of the linear problem and for a generalization of this problem.
Olimpio Hiroshi Miyagaki, Carlos Alberto Reyes Peña, Rodrigo da Silva Rodrigues   +2 more
wiley   +1 more source

A modified perturbation method for mathematical models with randomness: An analysis through the steady-state solution to Burgers’ PDE

, 2020
The variability of the data and the incomplete knowledge of the true physics require the incorporation of randomness into the formulation of mathematical models. In this setting, the deterministic numerical methods cannot capture the propagation of the uncertainty from the inputs to the model output.
Calatayud, Julia, Cortés, Juan Carlos, Jornet, Marc   +2 more
openaire   +1 more source

Analytical analysis and heat transfer of CuO and MgO engine oil base nanofluid with the influence of dynamic viscosity, magnetic field, and convective boundary conditions

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
This research work investigates the semi‐numerical analysis and heat transfer of MHD 2D, Copper Oxide, and Magnesium oxide engine oil base nanofluid with the consider effect of dynamic viscosity and convective boundary conditions (BCs).
Ali Rehman, M. Khun, S. Rezapour, Mostafa Inc, H. A. Garalleh, Taseer Muhammad   +5 more
semanticscholar   +1 more source

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source