Highly undcrexpanded axisymmctric jet was simulated using the Runge-Kutta Discontinuous Galerkin （RKDG） finite element method, which, based on two-dimensional conservation laws, was used to solve the axisymmetric Eu...Highly undcrexpanded axisymmctric jet was simulated using the Runge-Kutta Discontinuous Galerkin （RKDG） finite element method, which, based on two-dimensional conservation laws, was used to solve the axisymmetric Euler equations. The computed results show that the complicated flow field structures of interest, including shock waves, slipstreams and the triple point observed in experiments could be well captured using the RKDG finite element method. Moreover, comparisons of the Mach disk location exhibit excellent agreements between the computed results and experimental measurements, indicating that this method has high capability of capturing shocks without numerical oscillation and artificial viscosity occurring near the discontinuous point.展开更多
Numerical simulation of hemodynamics under the combined effects of both the host blood vessel and the microvascular network, which is based on a 2-D tumor inside and outside vascular network generated from a discrete ...Numerical simulation of hemodynamics under the combined effects of both the host blood vessel and the microvascular network, which is based on a 2-D tumor inside and outside vascular network generated from a discrete mathematical model of tumor-induced angiogenesis, is performed systemically. And a ＂microvascular network-- transport across microvascular network--flow in interstitium＂ model is developed to study the flow in solid tumor. Simulations are carried out to examine the effects of the variations of the inlet Reynolds number in the host blood vessel, the hydraulic conductivity of the microvascular wall, and interstitial hydraulic conductivity coefficient on the fluid flow in tumor microcirculation. The results are consistent with data obtained in terms of physiology. These results may provide some theoretical references and the bases for further clinical experimental research.展开更多
文摘Highly undcrexpanded axisymmctric jet was simulated using the Runge-Kutta Discontinuous Galerkin （RKDG） finite element method, which, based on two-dimensional conservation laws, was used to solve the axisymmetric Euler equations. The computed results show that the complicated flow field structures of interest, including shock waves, slipstreams and the triple point observed in experiments could be well captured using the RKDG finite element method. Moreover, comparisons of the Mach disk location exhibit excellent agreements between the computed results and experimental measurements, indicating that this method has high capability of capturing shocks without numerical oscillation and artificial viscosity occurring near the discontinuous point.
基金Project supported by the National Natural Science Foundation of China (Grant No:10372026)
文摘Numerical simulation of hemodynamics under the combined effects of both the host blood vessel and the microvascular network, which is based on a 2-D tumor inside and outside vascular network generated from a discrete mathematical model of tumor-induced angiogenesis, is performed systemically. And a ＂microvascular network-- transport across microvascular network--flow in interstitium＂ model is developed to study the flow in solid tumor. Simulations are carried out to examine the effects of the variations of the inlet Reynolds number in the host blood vessel, the hydraulic conductivity of the microvascular wall, and interstitial hydraulic conductivity coefficient on the fluid flow in tumor microcirculation. The results are consistent with data obtained in terms of physiology. These results may provide some theoretical references and the bases for further clinical experimental research.
