A high order boundary element method was developed for the complex velocity potential problem. The method ensures not only the continuity of the potential at the nodes of each element but also the velocity. It can be ...A high order boundary element method was developed for the complex velocity potential problem. The method ensures not only the continuity of the potential at the nodes of each element but also the velocity. It can be applied to a variety of velocity potential problems. The present paper, however, focused on its application to the problem of water entry of a wedge with varying speed. The continuity of the velocity achieved herein is particularly important for this kind of nonlinear free surface flow problem, because when the time stepping method is used, the free surface is updated through the velocity obtained at each node and the accuracy of the velocity is therefore crucial. Calculation was made for a case when the distance S that the wedge has travelled and time t follow the relationship s=Dtα, where D and α are constants, which is found to lead to a self similar flow field when the effect due to gravity is ignored.展开更多
The main old lands in China include the North China Block(NCB),South China Block(SCB)and Tarim Block(TRB),all of which have individual tectonic evolving histories.The NCB experienced complex geological evolution since...The main old lands in China include the North China Block(NCB),South China Block(SCB)and Tarim Block(TRB),all of which have individual tectonic evolving histories.The NCB experienced complex geological evolution since the early Precambrian onwards,and carries important records from the old continental nuclei,giant crustal growth episode and cratonization(stabilitization),then to the Paleoproterozoic rifting-subduction-accretion-collision with imprints of the Great Oxygen Event(GOE),and to the Late Paleoproterozoic-Neoproterozoic multi-stage rifting representing North China platform tectonic features.The TRB has two-layer basement of the Early Precambrian metamorphic complexes and Neoproterozoic sedimentary sequences.Three till sheets have been reported.The SCB consists of the Yangtze Block(YZB)and Cathaysia Block(CTB)that were cohered in the Neoproterozoic.The YZB recorded tectonic processes of the Early Precambrian crustal growth,1.0–0.9 Ga and 0.8–0.6 Ga metamorphic-magmatic events,and two Neoproterozoic glaciations.The CTB consists of ca.1.8Ga,1.0 to 0.9 Ga and ca.0.8 Ga granitic gneisses and metamorphic rocks,indicating there was a vast Precambrian basement.The Neoproterozoic sedimentary rocks overlie partly on the basement.That the YZB and CTB have a Neoproterozoic uniform cover layer illustrates the SCB should form,at least,during 1.0–0.9 Ga,corresponding to the Rodinia Supercontinent.The Central Chinese Orogenic System with high-ultra-high-pressure metamorphic rocks supports a suggestion that the abovementioned three old lands were collided to assemble a unified Chinese Continent during the Pangea orogenic period.展开更多
文摘A high order boundary element method was developed for the complex velocity potential problem. The method ensures not only the continuity of the potential at the nodes of each element but also the velocity. It can be applied to a variety of velocity potential problems. The present paper, however, focused on its application to the problem of water entry of a wedge with varying speed. The continuity of the velocity achieved herein is particularly important for this kind of nonlinear free surface flow problem, because when the time stepping method is used, the free surface is updated through the velocity obtained at each node and the accuracy of the velocity is therefore crucial. Calculation was made for a case when the distance S that the wedge has travelled and time t follow the relationship s=Dtα, where D and α are constants, which is found to lead to a self similar flow field when the effect due to gravity is ignored.
基金supported by the National Basic Research Program of China(Grant No.2012CB4166006)the National Natural Science Foundation of China(Grant Nos.41030316 and 41210003)
文摘The main old lands in China include the North China Block(NCB),South China Block(SCB)and Tarim Block(TRB),all of which have individual tectonic evolving histories.The NCB experienced complex geological evolution since the early Precambrian onwards,and carries important records from the old continental nuclei,giant crustal growth episode and cratonization(stabilitization),then to the Paleoproterozoic rifting-subduction-accretion-collision with imprints of the Great Oxygen Event(GOE),and to the Late Paleoproterozoic-Neoproterozoic multi-stage rifting representing North China platform tectonic features.The TRB has two-layer basement of the Early Precambrian metamorphic complexes and Neoproterozoic sedimentary sequences.Three till sheets have been reported.The SCB consists of the Yangtze Block(YZB)and Cathaysia Block(CTB)that were cohered in the Neoproterozoic.The YZB recorded tectonic processes of the Early Precambrian crustal growth,1.0–0.9 Ga and 0.8–0.6 Ga metamorphic-magmatic events,and two Neoproterozoic glaciations.The CTB consists of ca.1.8Ga,1.0 to 0.9 Ga and ca.0.8 Ga granitic gneisses and metamorphic rocks,indicating there was a vast Precambrian basement.The Neoproterozoic sedimentary rocks overlie partly on the basement.That the YZB and CTB have a Neoproterozoic uniform cover layer illustrates the SCB should form,at least,during 1.0–0.9 Ga,corresponding to the Rodinia Supercontinent.The Central Chinese Orogenic System with high-ultra-high-pressure metamorphic rocks supports a suggestion that the abovementioned three old lands were collided to assemble a unified Chinese Continent during the Pangea orogenic period.
