Developing high resolution finite difference scheme and enabling the use of this scheme on complex geometry are the aims of this study.High resolution has been achieved by Dissipative Compact Schemes(DCS),however,acco...Developing high resolution finite difference scheme and enabling the use of this scheme on complex geometry are the aims of this study.High resolution has been achieved by Dissipative Compact Schemes(DCS),however,according to the recent research,applications of DCS on complex geometry may have serious problem for that the Geometric Conservation Law(GCL)is not satisfied,and this may cause numerical instability.To cope with this problem,a new scheme named Hybrid cell-edge and cell-node Dissipative Compact Scheme(HDCS)has been formulated.The formulation of the HDCS contains two steps.First,a new central compact scheme is formulated for the purpose of conveniently fulfilling the GCL,and then dissipation is added on the central scheme by high-order dissipative interpolation of cell-edge variables.The solutions of Euler and Navier-Stokes equations show that the HDCS can be applied successfully on complex geometry,while the DCS may suffer numerical instabilities.Moreover,high resolution of the HDCS may be observed in the test of scattering of acoustic waves by multiple cylinders.展开更多
In recent years,some countries have advocated a“rules-based international order.”However,they have not explicitly defined the“rules”here as“international law”and thereupon elaborated on their view of the rules f...In recent years,some countries have advocated a“rules-based international order.”However,they have not explicitly defined the“rules”here as“international law”and thereupon elaborated on their view of the rules for the international order.In fact,a series of legal practices implemented by these countries indicate that what they pursue is largely a view of rules that prioritizes domestic law over international law and regional international law over universal international law,and that politicizes international law.This view of rules undermines the role of international law in the international order and violates the requirements of the times for improving global governance and promoting the establishment of a more just and reasonable international order.To correct the view of rules pursued by these countries through the advocacy of a“rules-based international order,”China proposes an“international law-based international order.”The view of rules embodied in the“international law-based international order”recognizes that international law based and centered on the UN Charter is the authoritative system of rules governing international relations,while not excluding the role in the international order of other rules that do not violate international law.展开更多
基金supported by the National Basic Research Program of China(Grant no.2009CB723800)National Natural Science Foundation of China(Grand Nos.11072259 and 11202226)the Foundation of State Key Laboratory of Aerodynamics(Grand Nos.JBKY11030902 and JBKY11010100)
文摘Developing high resolution finite difference scheme and enabling the use of this scheme on complex geometry are the aims of this study.High resolution has been achieved by Dissipative Compact Schemes(DCS),however,according to the recent research,applications of DCS on complex geometry may have serious problem for that the Geometric Conservation Law(GCL)is not satisfied,and this may cause numerical instability.To cope with this problem,a new scheme named Hybrid cell-edge and cell-node Dissipative Compact Scheme(HDCS)has been formulated.The formulation of the HDCS contains two steps.First,a new central compact scheme is formulated for the purpose of conveniently fulfilling the GCL,and then dissipation is added on the central scheme by high-order dissipative interpolation of cell-edge variables.The solutions of Euler and Navier-Stokes equations show that the HDCS can be applied successfully on complex geometry,while the DCS may suffer numerical instabilities.Moreover,high resolution of the HDCS may be observed in the test of scattering of acoustic waves by multiple cylinders.
文摘In recent years,some countries have advocated a“rules-based international order.”However,they have not explicitly defined the“rules”here as“international law”and thereupon elaborated on their view of the rules for the international order.In fact,a series of legal practices implemented by these countries indicate that what they pursue is largely a view of rules that prioritizes domestic law over international law and regional international law over universal international law,and that politicizes international law.This view of rules undermines the role of international law in the international order and violates the requirements of the times for improving global governance and promoting the establishment of a more just and reasonable international order.To correct the view of rules pursued by these countries through the advocacy of a“rules-based international order,”China proposes an“international law-based international order.”The view of rules embodied in the“international law-based international order”recognizes that international law based and centered on the UN Charter is the authoritative system of rules governing international relations,while not excluding the role in the international order of other rules that do not violate international law.
