scholarly journals Computationally efficient adaptive time step method for the Cahn–Hilliard equation

2017 ◽  
Vol 73 (8) ◽  
pp. 1855-1864 ◽  
Author(s):  
Yibao Li ◽  
Yongho Choi ◽  
Junseok Kim
Keyword(s):  
Computationally Efficient ◽  
Step Method ◽  
Time Step ◽  
Hilliard Equation ◽  
Adaptive Time Step ◽  
Adaptive Time ◽  
Cahn Hilliard Equation ◽  
Adaptive Time Step Method ◽  
Time Step Method

scholarly journals Solution of non-linear thermal transient problems by a new adaptive time-step method in quenching process

2009 ◽  
Vol 33 (1) ◽  
pp. 329-342 ◽  
Author(s):  
Huiping Li ◽  
Guoqun Zhao ◽  
Lianfang He ◽  
Yue Mo
Keyword(s):  
Step Method ◽  
Time Step ◽  
Transient Problems ◽  
Quenching Process ◽  
Non Linear ◽  
Adaptive Time Step ◽  
Adaptive Time ◽  
Thermal Transient ◽  
Adaptive Time Step Method ◽  
Time Step Method

A Second-Derivative-Based Adaptive Time-Step Method for Spatial Kinetics Calculations

1996 ◽  
Vol 123 (2) ◽  
pp. 206-214 ◽  
Author(s):  
Nicolas Crouzet ◽  
Paul J. Turinsky
Keyword(s):  
Second Derivative ◽  
Step Method ◽  
Time Step ◽  
Adaptive Time Step ◽  
Adaptive Time ◽  
Adaptive Time Step Method ◽  
Time Step Method

scholarly journals PHISICS/RELAP5-3D Adaptive Time-Step Method Demonstrated for the HTTR LOFC#1 Simulation

2017 ◽  
Author(s):  
Robin Ivey Baker ◽  
Paolo Balestra ◽  
Gerhard Strydom
Keyword(s):  
Step Method ◽  
Time Step ◽  
Adaptive Time Step ◽  
Adaptive Time ◽  
Adaptive Time Step Method ◽  
Time Step Method

A new adaptive time step method for unsteady flow simulations in a human lung

2017 ◽  
Vol 20 (8) ◽  
pp. 915-917 ◽  
Author(s):  
Ana Fenández-Tena ◽  
Alfonso C. Marcos ◽  
Cristina Martínez ◽  
D. Keith Walters
Keyword(s):  
Unsteady Flow ◽  
Human Lung ◽  
Step Method ◽  
Time Step ◽  
Flow Simulations ◽  
Adaptive Time Step ◽  
Adaptive Time ◽  
Adaptive Time Step Method ◽  
Time Step Method

Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation

2016 ◽  
Vol 19 (5) ◽  
pp. 1542-1563 ◽  
Author(s):  
Fuesheng Luo ◽  
Tao Tang ◽  
Hehu Xie
Keyword(s):  
Large Time ◽  
Main Idea ◽  
Energy Evolution ◽  
Time Step ◽  
Time Stepping ◽  
Hilliard Equation ◽  
Phase Field Models ◽  
Adaptive Time ◽  
Cahn Hilliard Equation ◽  
Adaptive Time Stepping

AbstractIt is known that large time-stepping method are useful for simulating phase field models. In this work, an adaptive time-stepping strategy is proposed based on numerical energy stability and equi-distribution principle. The main idea is to use the energy variation as an indicator to update the time step, so that the resulting algorithm is free of user-defined parameters, which is different from several existing approaches. Some numerical experiments are presented to illustrate the effectiveness of the algorithms.

scholarly journals An Unsteady Model for Aircraft Icing Based on Tightly-Coupled Method and Phase-Field Method

Aerospace ◽  
2021 ◽  
Vol 8 (12) ◽  
pp. 373
Author(s):  
Hao Dai ◽  
Chengxiang Zhu ◽  
Ning Zhao ◽  
Chunling Zhu ◽  
Yufei Cai
Keyword(s):  
Numerical Simulation ◽  
Resistance Coefficient ◽  
Phase Field Method ◽  
Aircraft Icing ◽  
Shadow Zone ◽  
Step Method ◽  
Time Step ◽  
Hilliard Equation ◽  
Tightly Coupled ◽  
Cahn Hilliard Equation

An unsteady tightly-coupled icing model is established in this paper to solve the numerical simulation problem of unsteady aircraft icing. The multi-media fluid of air and droplets is regarded as a single medium fluid with variable material properties. Taking the droplet concentration as the phase parameter and the droplet resistance coefficient as the interphase force, the mass concentration distribution of the droplet is obtained by solving the Cahn–Hilliard equation. Fick’s law is introduced to improve the Cahn–Hilliard equation to predict the droplet shadow zone. On this basis, the procedure of the unsteady numerical simulation method for aircraft icing is established, including grid generation, the dual-time-step method to realize the unsteady calculation of the air and droplet tightly-coupled mixed flow field, and the improved shallow water icing model. Finally, through the comparative analysis of numerical examples, the effectiveness of the new model in predicting the droplet impact characteristics and the droplet shadow zone are verified. Compared with other icing models, the ice shapes predicted by the unsteady tightly-coupled model were found to be the most consistent with the experiments. In the icing comparison conditions in this manuscript, the prediction accuracy of the ice thickness at the stagnation point of the leading edge was up to 35% higher than that of LEWICE.

Symplectic integrators with adaptive time step applied to runaway electron dynamics

2019 ◽  
Vol 81 (4) ◽  
pp. 1295-1309 ◽  
Author(s):  
Yanyan Shi ◽  
Yajuan Sun ◽  
Yang He ◽  
Hong Qin ◽  
Jian Liu
Keyword(s):  
Runaway Electron ◽  
Symplectic Integrators ◽  
Electron Dynamics ◽  
Time Step ◽  
Adaptive Time Step ◽  
Adaptive Time
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