scholarly journals A non-oscillatory energy-splitting method for the computation of compressible multi-fluid flows

2018 ◽  
Vol 30 (4) ◽  
pp. 040906 ◽  
Author(s):  
Xin Lei ◽  
Jiequan Li
Keyword(s):  
Splitting Method ◽  
Fluid Flows ◽  
Energy Splitting ◽  
Oscillatory Energy

scholarly journals A quasi-monolithic phase-field description for mixed-mode fracture using predictor–corrector mesh adaptivity

2021 ◽  
Author(s):  
Meng Fan ◽  
Yan Jin ◽  
Thomas Wick
Keyword(s):  
Phase Field ◽  
Mixed Mode ◽  
Splitting Method ◽  
Fracture Model ◽  
Mixed Mode Fracture ◽  
Energy Splitting ◽  
Mesh Adaptivity ◽  
Mode Fracture ◽  
New Model ◽  
Fracture Models

AbstractIn this work, we develop a mixed-mode phase-field fracture model employing a parallel-adaptive quasi-monolithic framework. In nature, failure of rocks and rock-like materials is usually accompanied by the propagation of mixed-mode fractures. To address this aspect, some recent studies have incorporated mixed-mode fracture propagation criteria to classical phase-field fracture models, and new energy splitting methods were proposed to split the total crack driving energy into mode-I and mode-II parts. As extension in this work, a splitting method for masonry-like materials is modified and incorporated into the mixed-mode phase-field fracture model. A robust, accurate and efficient parallel-adaptive quasi-monolithic framework serves as basis for the implementation of our new model. Three numerical tests are carried out, and the results of the new model are compared to those of existing models, demonstrating the numerical robustness and physical soundness of the new model. In total, six models are computationally analyzed and compared.

scholarly journals Optimal energy-splitting method for an open-loop liquid crystal adaptive optics system

2012 ◽  
Vol 20 (17) ◽  
pp. 19331 ◽  
Author(s):  
Zhaoliang Cao ◽  
Quanquan Mu ◽  
Lifa Hu ◽  
Yonggang Liu ◽  
Zenghui Peng ◽  
...  
Keyword(s):  
Liquid Crystal ◽  
Adaptive Optics ◽  
Splitting Method ◽  
Open Loop ◽  
Energy Splitting ◽  
Optimal Energy ◽  
Adaptive Optics System

Natural Convection in a Differentially Heated Cavity Using Splitting Method

2013 ◽  
Vol 388 ◽  
pp. 156-160
Author(s):  
Selamat Ubaidullah ◽  
Kahar Osman
Keyword(s):  
Natural Convection ◽  
Numerical Solutions ◽  
Splitting Method ◽  
Fluid Flows ◽  
Boussinesq Approximation ◽  
Navier Stokes ◽  
Navier Stokes Equation ◽  
Thermally Driven ◽  
Rayleigh Numbers ◽  
Good Agreement

The solution of thermally-driven flow of Navier-Stokes equation, in Boussinesq approximation, is presented. The results are obtained using splitting method and in good agreement with available benchmark numerical solutions. The convection terms are explicitly integrated using 3-step Range-Kutta scheme. Buoyancy-driven fluid flows data in a differentially heated cavity for low Rayleigh numbers (R=1000, R=10000 and R=100000) are presented.

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