The distributed Lagrange multiplier/fictitious domain(DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump coefficients.The semi-and fully disc...The distributed Lagrange multiplier/fictitious domain(DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump coefficients.The semi-and fully discrete DLM/FD-mixed finite element scheme are developed for the first time for this problem with a moving interface,where the arbitrary Lagrangian-Eulerian(ALE)technique is employed to deal with the moving and immersed subdomain.Stability and optimal convergence properties are obtained for both schemes.Numerical experiments are carried out for different scenarios of jump coefficients,and all theoretical results are validated.展开更多
In this paper,we focus on graphical processing unit(GPU)and discuss how its architecture affects the choice of algorithm and implementation of fully-implicit petroleum reservoir simulation.In order to obtain satisfact...In this paper,we focus on graphical processing unit(GPU)and discuss how its architecture affects the choice of algorithm and implementation of fully-implicit petroleum reservoir simulation.In order to obtain satisfactory performance on new many-core architectures such as GPUs,the simulator developers must know a great deal on the specific hardware and spend a lot of time on fine tuning the code.Porting a large petroleum reservoir simulator to emerging hardware architectures is expensive and risky.We analyze major components of an in-house reservoir simulator and investigate how to port them to GPUs in a cost-effective way.Preliminary numerical experiments show that our GPU-based simulator is robust and effective.More importantly,these numerical results clearly identify the main bottlenecks to obtain ideal speedup on GPUs and possibly other many-core architectures.展开更多
When two distinct ordered phases contact,the interface may exhibit rich and fascinating structures.Focusing on the Cylinder-Gyroid interface system,transition pathways connecting various interface morphologies are stu...When two distinct ordered phases contact,the interface may exhibit rich and fascinating structures.Focusing on the Cylinder-Gyroid interface system,transition pathways connecting various interface morphologies are studied armed with the Landau–Brazovskii model.Specifically,minimum energy paths are obtained by computing transition states with the saddle dynamics.We present four primary transition pathways connecting different local minima,representing four different mechanisms of the formation of the Cylinder-Gyroid interface.The connection of Cylinder and Gyroid can be either direct or indirect via Fddd with three different orientations.Under different displacements,each of the four pathways may have the lowest energy.展开更多
基金P.Sun was supported by NSF Grant DMS-1418806C.S.Zhang was partially supported by the National Key Research and Development Program of China(Grant No.2016YFB0201304)+1 种基金the Major Research Plan of National Natural Science Foundation of China(Grant Nos.91430215,91530323)the Key Research Program of Frontier Sciences of CAS.
文摘The distributed Lagrange multiplier/fictitious domain(DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump coefficients.The semi-and fully discrete DLM/FD-mixed finite element scheme are developed for the first time for this problem with a moving interface,where the arbitrary Lagrangian-Eulerian(ALE)technique is employed to deal with the moving and immersed subdomain.Stability and optimal convergence properties are obtained for both schemes.Numerical experiments are carried out for different scenarios of jump coefficients,and all theoretical results are validated.
基金support from LSEC.The authors would like to thank RIPED,PetroChina,for providing data for the numerical tests and support through PetroChina New-generation Reservoir Simulation Software(No.2011A-1010)the Program of Research on Continental Sedimentary Oil Reservoir Simulation(No.z121100004912001)founded by Beijing Municipal Science&Technology Commission and PetroChina Joint Research Funding No.12HT1050002654.
文摘In this paper,we focus on graphical processing unit(GPU)and discuss how its architecture affects the choice of algorithm and implementation of fully-implicit petroleum reservoir simulation.In order to obtain satisfactory performance on new many-core architectures such as GPUs,the simulator developers must know a great deal on the specific hardware and spend a lot of time on fine tuning the code.Porting a large petroleum reservoir simulator to emerging hardware architectures is expensive and risky.We analyze major components of an in-house reservoir simulator and investigate how to port them to GPUs in a cost-effective way.Preliminary numerical experiments show that our GPU-based simulator is robust and effective.More importantly,these numerical results clearly identify the main bottlenecks to obtain ideal speedup on GPUs and possibly other many-core architectures.
基金supported by the National Natural Science Foundation of China No.12001524 and and No.12288201supported by the National Natural Science Foundation of China No.12050002 and the National Key R&D Program of China 2021YFF1200500.
文摘When two distinct ordered phases contact,the interface may exhibit rich and fascinating structures.Focusing on the Cylinder-Gyroid interface system,transition pathways connecting various interface morphologies are studied armed with the Landau–Brazovskii model.Specifically,minimum energy paths are obtained by computing transition states with the saddle dynamics.We present four primary transition pathways connecting different local minima,representing four different mechanisms of the formation of the Cylinder-Gyroid interface.The connection of Cylinder and Gyroid can be either direct or indirect via Fddd with three different orientations.Under different displacements,each of the four pathways may have the lowest energy.
