This paper presents a comprehensive treatment of the parametric sensitivity and runaway in fixed bed reactors with one dimensional pseudo homogeneous dispersion model (ODDM). In this case, we find the existence of m...This paper presents a comprehensive treatment of the parametric sensitivity and runaway in fixed bed reactors with one dimensional pseudo homogeneous dispersion model (ODDM). In this case, we find the existence of multiplicity and determine the runaway criterion through the critical isodisper sion curve. The calculated results indicate when the axial dispersion is relatively small, the impact of the axial dispersion on the parametric sensitivity may be neglected; but when the axial dispersion is large, this impact must be considered.展开更多
Domain decomposition method(DDM)is one of the most efficient and powerful methods for solving extra-large scale and intricate electromagnetic(EM)problems,fully embodying the divide-and-conquer philosophy.It provides t...Domain decomposition method(DDM)is one of the most efficient and powerful methods for solving extra-large scale and intricate electromagnetic(EM)problems,fully embodying the divide-and-conquer philosophy.It provides the strategy of dealing with a computationally huge task that is not easy to be solved directly—dividing the task into a number of smaller ones,i.e.sub-tasks,each can be readily solved independently and employing appropriate transmission conditions(TCs)accounting for the interactions communication among these sub-tasks.This paper presents a comprehensive overview of DDM,highlighting its fundamental principles and wide-ranging applications in many diverse areas,such as very-large-scale integration circuits,antenna array radiation,and wave scattering.In the evolution of this technology,DDM has gradually manifested its remarkable power of tackling complex EM problems through its merging with Laplace,wave,Maxwell equations,as well as surface integral equations and volume integral equations.The further evolved advanced algorithms such as overlapped DDM and non-overlapped DDM are also reviewed.The efficiency of the DDMs depends strongly on the TCs of EM fields at the interface among adjacent sub-domains.The diversity of TCs in differential and integral equations generates a variety of DDMs.Due to the independence of sub-domains,the DDMs are inherently well-suited for parallel processing with high flexibility,making them particularly effective for EM full-wave simulations on distributed computers.Finally,a list of remaining challenging technical issues and future perspective on the fast-evolving field will be provided.展开更多
文摘This paper presents a comprehensive treatment of the parametric sensitivity and runaway in fixed bed reactors with one dimensional pseudo homogeneous dispersion model (ODDM). In this case, we find the existence of multiplicity and determine the runaway criterion through the critical isodisper sion curve. The calculated results indicate when the axial dispersion is relatively small, the impact of the axial dispersion on the parametric sensitivity may be neglected; but when the axial dispersion is large, this impact must be considered.
基金supported by the National Natural Science Foundation of China(Grant Nos.62293492,62131008,and 62188102)the National Key Research and Development Program of China(Grant No.2024YFB2908601).
文摘Domain decomposition method(DDM)is one of the most efficient and powerful methods for solving extra-large scale and intricate electromagnetic(EM)problems,fully embodying the divide-and-conquer philosophy.It provides the strategy of dealing with a computationally huge task that is not easy to be solved directly—dividing the task into a number of smaller ones,i.e.sub-tasks,each can be readily solved independently and employing appropriate transmission conditions(TCs)accounting for the interactions communication among these sub-tasks.This paper presents a comprehensive overview of DDM,highlighting its fundamental principles and wide-ranging applications in many diverse areas,such as very-large-scale integration circuits,antenna array radiation,and wave scattering.In the evolution of this technology,DDM has gradually manifested its remarkable power of tackling complex EM problems through its merging with Laplace,wave,Maxwell equations,as well as surface integral equations and volume integral equations.The further evolved advanced algorithms such as overlapped DDM and non-overlapped DDM are also reviewed.The efficiency of the DDMs depends strongly on the TCs of EM fields at the interface among adjacent sub-domains.The diversity of TCs in differential and integral equations generates a variety of DDMs.Due to the independence of sub-domains,the DDMs are inherently well-suited for parallel processing with high flexibility,making them particularly effective for EM full-wave simulations on distributed computers.Finally,a list of remaining challenging technical issues and future perspective on the fast-evolving field will be provided.
