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High-Order Splitting Scheme for Simulating Regularized Bingham Fluid Flow Using Spectral Element Methods

delete2025-09-01
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PRE
AI
P
Parsaei, Mehran *
M
Mohammad Sefid
A
Ali Akbar Dehghan
E
Ehsan Izadpanah
A
Azadeh Jafari *
DOI:10.1142/S0219876225500410delete
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Abstract

Abstract

En 中文
This study presents a high-order splitting scheme for simulating regularized Bingham fluid flow, aiming to enhance accuracy while reducing computational cost. The proposed method effectively handles the nonlinear stress-strain relationship using a spectral element method (SEM) for spatial discretization and an Adams-Bashforth scheme for time integration. A velocity correction-based splitting approach is employed for efficient pressure-velocity coupling. Compared with lower-order methods, our approach maintains high accuracy with significantly improved computational efficiency. The method is validated against a semi-analytical Poiseuille flow solution. We investigate the effects of Reynolds and Bingham numbers on velocity profiles, pressure drop, stress, and apparent viscosity. Results confirm the linear stress behavior in non-yielding regions, providing deeper insights into regularized Bingham fluid dynamics.
Keywords:
Spectral element methods
viscoplastic fluids
Bingham fluid
regularization technique
high-order splitting scheme

Journal

I
International Journal of Computational Methods
IF:
1.6
Papers:
79
Citations:
1.6K

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