Results 21 to 30 of about 8,808,665 (333)
Deterministic numerical solutions of the Boltzmann equation using the fast spectral method [PDF]
, 2013 The Boltzmann equation describes the dynamics of rarefied gas flows, but the multidimensional nature of its collision operator poses a real challenge for its numerical solution. In this paper, the fast spectral method [36], originally developed by Mouhot
Reese, Jason M. +6 more
core +4 more sources
Topics in Numerical Computation of Compressible Flow [PDF]
, 1990 This thesis aims to assist the development of a multiblock implicit Navier-Stokes code for hypersonic flow applications. There are mainly three topics, which concern the understanding of basic Riemann solvers, the implementing of implicit zonal ...
Lin, Hong-Chia
core +7 more sources
Crosswise Stream of Cu-H2O Nanofluid with Micro Rotation Effects: Heat Transfer Analysis
Nanomaterials, 2023 The present study focuses on a crosswise stream of liquid-holding nano-sized particles over an elongating (stretching) surface. Tiny particles of copper are added into base liquid (water). The influence of the micro rotation phenomenon is also considered.
Rashid Mehmood +3 more
doaj +1 more source
Computer Methods in Applied Mechanics and Engineering, 2021 In this paper, we establish a binary fluid surfactant model by coupling two mass-conserved Allen–Cahn equations and the Navier–Stokes equations and consider numerical simulations of the developed model.
Xiaofeng Yang
semanticscholar +1 more source
A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels
Fractal and Fractional, 2023 The present paper introduces a new class of generalized differential and integral operators. This class includes and generalizes a large number of definitions of fractal-fractional derivatives and integral operators used to model the complex dynamics of ...
Khalid Hattaf
doaj +1 more source
On the numerical overshoots of shock‐capturing schemes [PDF]
International Journal for Numerical Methods in Fluids, 2021 AbstractThis note introduces a simple metric for benchmarking shock‐capturing schemes. This metric is especially focused on the shock‐capturing overshoots, which may undermine the robustness of numerical simulations, as well as the reliability of numerical results.
Huaibao Zhang, Fan Zhang
openaire +3 more sources
NUMERICAL ANALYSIS OF THE CAUCHY PROBLEM FOR A WIDE CLASS FRACTAL OSCILLATORS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 The Cauchy problem for a wide class of fractal oscillators is considered in the paper and its numerical investigation is carried out using the theory of finite-difference schemes.
R. I. Parovik
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In Vivo HIV Dynamics, Modeling the Interaction of HIV and Immune System via Non-Integer Derivatives
Fractal and Fractional, 2023 The economic burden of HIV extends beyond the individual level and affects communities and countries. HIV can lead to decreased economic growth due to lost productivity and increased healthcare costs.
Asif Jan +5 more
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A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system [PDF]
Mathematics of Computation, 2020 In this paper we propose and analyze a finite difference numerical scheme for the Poisson-Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP model, we make use of the Energetic Variational Approach (EnVarA), so that the ...
Chun Liu +4 more
semanticscholar +1 more source
ESAIM: Mathematical Modelling and Numerical Analysis, 2021 We construct a fully-discrete finite element numerical scheme for the Cahn-Hilliard phase-field model of the two-phase incompressible flow system with variable density and viscosity. The scheme is linear, decoupled, and unconditionally energy stable. Its
Chuanjun Chen, Xiaofeng Yang
semanticscholar +1 more source