fractional step
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A fractional-step lattice Boltzmann method for multiphase flows with complex interfacial behavior and large density contrast

International Journal of Multiphase Flow ◽

10.1016/j.ijmultiphaseflow.2022.103982 ◽

2022 ◽

pp. 103982

Author(s):

Xiang Li ◽

Zhi-Qiang Dong ◽

Yan Li ◽

Lian-Ping Wang ◽

Xiao-Dong Niu ◽

...

Keyword(s):

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Multiphase Flows ◽

Density Contrast ◽

Fractional Step ◽

Interfacial Behavior ◽

Large Density ◽

Boltzmann Method

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Analysis and realization of fractional step filters of order (1+α)

10.1016/b978-0-32-390090-4.00017-2 ◽

2022 ◽

pp. 337-372

Author(s):

Gagandeep Kaur ◽

A.Q. Ansari ◽

M.S. Hashmi

Keyword(s):

Fractional Step

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A MIXED VOLUME ELEMENT METHOD WITH CHARACTERISTIC FRACTIONAL STEP DIFFERENCES FOR COMPRESSIBLE CONTAMINATION TREATMENT FROM NUCLEAR WASTE

Far East Journal of Applied Mathematics ◽

10.17654/0972096021002 ◽

2021 ◽

Vol 111 (2) ◽

pp. 59-96

Author(s):

Changfeng Li

Keyword(s):

Nuclear Waste ◽

Mixed Volume ◽

Volume Element ◽

Fractional Step ◽

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Roll characteristics contributed by a bilge keel using a high-order fractional step finite volume solver

Ocean Engineering ◽

10.1016/j.oceaneng.2021.109935 ◽

2021 ◽

Vol 240 ◽

pp. 109935

Author(s):

Xiaohui Zhang ◽

Xiechong Gu ◽

Ning Ma

Keyword(s):

Finite Volume ◽

Fractional Step ◽

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Comparative Study on Eddy Roll Damping with Experimental Results Using a High-order Fractional Step Finite Volume Solver

International Journal of Offshore and Polar Engineering ◽

10.17736/ijope.2021.ak41 ◽

2021 ◽

Vol 31 (2) ◽

pp. 199-209

Author(s):

Xiaohui Zhang ◽

Xiechong Gu ◽

Ning Ma

Keyword(s):

Comparative Study ◽

Finite Volume ◽

Experimental Results ◽

Fractional Step ◽

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Development of an algebraic fractional step scheme for the primitive formulation of the compressible Navier-Stokes equations

Journal of Computational Physics ◽

10.1016/j.jcp.2020.110017 ◽

2021 ◽

Vol 433 ◽

pp. 110017

Author(s):

Samuel Parada ◽

Ramon Codina ◽

Joan Baiges

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations

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On the Approximations of Point Measures Associated with the Brownian Web by Means of the Fractional Step Method and Discretization of the Initial Interval

Ukrainian Mathematical Journal ◽

10.1007/s11253-021-01862-w ◽

2021 ◽

Author(s):

A. A. Dorogovtsev ◽

M. B. Vovchanskii

Keyword(s):

Fractional Step ◽

Step Method ◽

Fractional Step Method ◽

Initial Interval

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A multi-GPU method for ADI-based fractional-step integration of incompressible Navier-Stokes equations

Computer Physics Communications ◽

10.1016/j.cpc.2021.107999 ◽

2021 ◽

pp. 107999

Author(s):

Sanghyun Ha ◽

Junshin Park ◽

Donghyun You

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Fractional Step ◽

Navier Stokes Equations

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A semi‐implicit material point method based on fractional‐step method for saturated soil

International Journal for Numerical and Analytical Methods in Geomechanics ◽

10.1002/nag.3207 ◽

2021 ◽

Author(s):

Shyamini Kularathna ◽

Weijian Liang ◽

Tianchi Zhao ◽

Bodhinanda Chandra ◽

Jidong Zhao ◽

...

Keyword(s):

Material Point Method ◽

Material Point ◽

Saturated Soil ◽

Point Method ◽

Fractional Step ◽

Step Method ◽

Fractional Step Method

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Comparison of different time discretization schemes for solving the Allen–Cahn equation

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2019-0283 ◽

2021 ◽

Vol 0 (0) ◽

Author(s):

Sana Ayub ◽

Abdul Rauf ◽

Hira Affan ◽

Abdullah Shah

Keyword(s):

Time Derivative ◽

Time Discretization ◽

Test Problems ◽

Fractional Step ◽

Cpu Time ◽

Cahn Equation ◽

Discretization Schemes ◽

Conforming Finite Element ◽

Derivative Term ◽

Conforming Finite Element Method

Abstract This article aims to solve the nonlinear Allen–Cahn equation numerically. The diagonally implicit fractional-step θ-(DIFST) scheme is used for the discretization of the time derivative term while the space derivative is discretized by the conforming finite element method. The computational efficiency of the DIFST scheme in terms of CPU time and temporal error estimation is computed and compared with other time discretization schemes. Several test problems are presented to show the effectiveness of the DIFST scheme.

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