This paper mainly discusses the multiscale computation from a chemical engineering perspective.From the application designer's perspective,we propose a new approach to investigate and develop both flexible and eff...This paper mainly discusses the multiscale computation from a chemical engineering perspective.From the application designer's perspective,we propose a new approach to investigate and develop both flexible and efficient computer architectures. Based on the requirements of applications within one category,we first induce and extract some inherent computing patterns or core computing kernels from the applications.Some computing models and innovative computing architectures will then be developed for these patterns or kernels,as well as the software mapping techniques. Finally those applications which can share and utilize those computing patterns or kernels can be executed very efficiently on those novel computing architectures. We think that the proposed approach may not be achievable within the existing technology. However,we believe that it will be available in the near future. Hence,we will describe this approach from the following four aspects:multiscale environment in the world,mesoscale as a key scale,energy minimization multiscale(EMMS)paradigm and our perspective.展开更多
This paper explores the application of noncooperative game theory together with the concept of Nash equilibrium to the investigation of some basic problems on multi-scale structure, especially the meso-scale structure...This paper explores the application of noncooperative game theory together with the concept of Nash equilibrium to the investigation of some basic problems on multi-scale structure, especially the meso-scale structure in the multi-phase complex systems in chemical engineering. The basis of this work is the energy-minimization-multi-scale （EMMS） model proposed by Li and Kwauk （1994） and Li, et al. （2013） which identifies the multi-scale structure as a result of ＇compromise-in-competition between dominant mechanisms＇ and tries to solve a multi-objective optimization problem. However, the existing methods often integrate it into a problem of single objective optimization, which does not clearly reflect the ＇compromise-in-competition＇ mechanism and causes heavy computation burden as well as uncertainty in choosing suitable weighting factors. This paper will formulate the compromise in competition mechanism in EMMS model as a noncooperative game with constraints, and will describe the desired stable system state as a generalized Nash equilibrium. Then the authors will investigate the game theoretical approach for two typical systems in chemical engineering, the gas-solid fluidiza- tion （GSF） system and turbulent flow in pipe. Two different cases for generalized Nash equilibrinm in such systems will be well defined and distinguished. The generalize Nash equilibrium will be solved accurately for the GSF system and a feasible method will be given for turbulent flow in pipe. These results coincide with the existing computational results and show the feasibility of this approach, which overcomes the disadvantages of the existing methods and provides deep insight into the mechanisms of multi-scale structure in the multi-phase complex systems in chemical engineering.展开更多
文摘This paper mainly discusses the multiscale computation from a chemical engineering perspective.From the application designer's perspective,we propose a new approach to investigate and develop both flexible and efficient computer architectures. Based on the requirements of applications within one category,we first induce and extract some inherent computing patterns or core computing kernels from the applications.Some computing models and innovative computing architectures will then be developed for these patterns or kernels,as well as the software mapping techniques. Finally those applications which can share and utilize those computing patterns or kernels can be executed very efficiently on those novel computing architectures. We think that the proposed approach may not be achievable within the existing technology. However,we believe that it will be available in the near future. Hence,we will describe this approach from the following four aspects:multiscale environment in the world,mesoscale as a key scale,energy minimization multiscale(EMMS)paradigm and our perspective.
基金supported by the National Natural Science Foundation of China under Grant Nos.11688101,91634203,61304159by the National Center for Mathematics and Interdisciplinary Sciences
文摘This paper explores the application of noncooperative game theory together with the concept of Nash equilibrium to the investigation of some basic problems on multi-scale structure, especially the meso-scale structure in the multi-phase complex systems in chemical engineering. The basis of this work is the energy-minimization-multi-scale （EMMS） model proposed by Li and Kwauk （1994） and Li, et al. （2013） which identifies the multi-scale structure as a result of ＇compromise-in-competition between dominant mechanisms＇ and tries to solve a multi-objective optimization problem. However, the existing methods often integrate it into a problem of single objective optimization, which does not clearly reflect the ＇compromise-in-competition＇ mechanism and causes heavy computation burden as well as uncertainty in choosing suitable weighting factors. This paper will formulate the compromise in competition mechanism in EMMS model as a noncooperative game with constraints, and will describe the desired stable system state as a generalized Nash equilibrium. Then the authors will investigate the game theoretical approach for two typical systems in chemical engineering, the gas-solid fluidiza- tion （GSF） system and turbulent flow in pipe. Two different cases for generalized Nash equilibrinm in such systems will be well defined and distinguished. The generalize Nash equilibrium will be solved accurately for the GSF system and a feasible method will be given for turbulent flow in pipe. These results coincide with the existing computational results and show the feasibility of this approach, which overcomes the disadvantages of the existing methods and provides deep insight into the mechanisms of multi-scale structure in the multi-phase complex systems in chemical engineering.
