A fictitious domain/wave-like equation method for viscoelastic particulate flows

机译：用于粘弹性颗粒流的虚构域/波浪状方程方法

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In this paper we study viscoelastic particulate flow by using a fictitious domain/wave-like equation methodology combining Stokes solvers a la Uzawa, a wave-like equation treatment of the advection, and the rigid body motion projection via a first order accurate operator-splitting scheme. In the 2D numerical simulations with Oldroyd-B fluid, two particles settling side by side attract and approach each other, and then the doublet rotates until the line of centers is aligned with the falling direction, which agrees with experiments very well.

机译：在本文中，通过使用斯托克斯求解La Uzawa的虚拟结构域/波样方程方法研究粘弹性颗粒流量，通过第一阶精确的操作员分裂，将STOKES求解La uzawa，以及通过第一阶的刚性体运动投影的波状方程处理方案。在具有oldroyd-B流体的2D数值模拟中，两个颗粒侧面沉降并彼此接近，然后双峰旋转，直到中心的线与下降方向对齐，这与实验相同。

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《MIT Conference on Computational Fluid and Solid Mechanics》|2001年||共3页
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Tsorng-Whay Pan; Roland Glowinski;
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中图分类 O35-53;
关键词
Fictitious domain; Projection method; Wave-like equation method; Finite element; Operator splitting; Oldroyd-B viscoelastic fluid; Particulate flow;

机译：虚构领域;投影方法;波浪状等式方法;有限元;操作员分裂;oldroyd-B粘弹性液;颗粒流动;

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2. A distributed lagrange multiplier/fictitious domain method for flows around moving rigid bodies: application to particulate flow [J] . Roland Glowinski, Tsorng-Whay Pan, Todd I. Hesla, International Journal for Numerical Methods in Fluids . 1999,第8期

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3. A fictitious domain method for particulate flows of arbitrary density ratio [J] . Xia Yan, Yu Zhaosheng, Deng Jian Computers & Fluids . 2019,第期

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4. A fictitious domain/wave-like equation method for viscoelastic particulate flows [C] . Tsorng-Whay Pan, Roland Glowinski MIT Conference on Computational Fluid and Solid Mechanics Vol.2 Jun 12-15, 2001 . 2001

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5. Direct numerical simulations of particulate flows using a finite element/fictitious domain approach. [D] . Diaz-Goano, Carolina. 2003

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7. A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow and its parallel implementation [O] . T. -w. Pan, V. Sarin, R. Glowinski, 1998

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8. Distributed Lagrange Multiplier Based Fictitious Domain Method for Maxwell's Equations [R] . Bokil, V. A. , Glowinski, R. 2006

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A fictitious domain/wave-like equation method for viscoelastic particulate flows

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