We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom topography.The designed first-and secondorder sche...We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom topography.The designed first-and secondorder schemes are tested on a number of numerical examples,in which we verify the well-balanced property as well as the ability of the proposed schemes to accurately capture small perturbations of moving-water steady states.展开更多
The characteristic textures of eclogitic veins infilling the interstitial spaces among zoisite-glaucophanite pillows, the fractures crosscutting massive zoisite-glaucophanites and the relic conduits within the eclogit...The characteristic textures of eclogitic veins infilling the interstitial spaces among zoisite-glaucophanite pillows, the fractures crosscutting massive zoisite-glaucophanites and the relic conduits within the eclogite boudins demonstrate that the eclogitization of glaucophanites was accompanied by the presence of a free fluid phase in the Western Tianshan high-pressure metamorphic belt. Non-planar populations of fluid inclusions, parallel to C-axis, have been preserved within the omphacites in eclogitic veins. The microthermometric results indicate that fluids are low-salinity (1-4 wt%NaCI) aqueous fluids. The chemical compositions of major, trace and rare earth elements of eclogitic veins and related host rocks indicate that the eclogitization of glaucophanites required the addition of external Si and Na elements, and was accompanied by the loss of large-ion lithophile elements, rare earth elements and water. The record of eclogitization of glaucophanites along fractures and zones of high permeability by fluid infiltration has been preserved in the Wetsern Tianshan high-pressure metamorphic belt.展开更多
We consider the Cauchy problem for a class of nonlinear degenerate parabolic equation with forcing. By using the vanishing viscosity method it is possible to construct a generalized solution. Moreover, this solution i...We consider the Cauchy problem for a class of nonlinear degenerate parabolic equation with forcing. By using the vanishing viscosity method it is possible to construct a generalized solution. Moreover, this solution is a Lipschitz function on the spatial variable and Holder continuous with exponent 1/2 on the temporal variable.展开更多
基金NSFC grant(No.11771201)by the fund of the Guangdong Provincial Key Laboratory of Computational Science and Material Design(No.2019B030301001)。
文摘We construct new HLL-type moving-water equilibria preserving upwind schemes for the one-dimensional Saint-Venant system of shallow water equations with nonflat bottom topography.The designed first-and secondorder schemes are tested on a number of numerical examples,in which we verify the well-balanced property as well as the ability of the proposed schemes to accurately capture small perturbations of moving-water steady states.
文摘The characteristic textures of eclogitic veins infilling the interstitial spaces among zoisite-glaucophanite pillows, the fractures crosscutting massive zoisite-glaucophanites and the relic conduits within the eclogite boudins demonstrate that the eclogitization of glaucophanites was accompanied by the presence of a free fluid phase in the Western Tianshan high-pressure metamorphic belt. Non-planar populations of fluid inclusions, parallel to C-axis, have been preserved within the omphacites in eclogitic veins. The microthermometric results indicate that fluids are low-salinity (1-4 wt%NaCI) aqueous fluids. The chemical compositions of major, trace and rare earth elements of eclogitic veins and related host rocks indicate that the eclogitization of glaucophanites required the addition of external Si and Na elements, and was accompanied by the loss of large-ion lithophile elements, rare earth elements and water. The record of eclogitization of glaucophanites along fractures and zones of high permeability by fluid infiltration has been preserved in the Wetsern Tianshan high-pressure metamorphic belt.
文摘We consider the Cauchy problem for a class of nonlinear degenerate parabolic equation with forcing. By using the vanishing viscosity method it is possible to construct a generalized solution. Moreover, this solution is a Lipschitz function on the spatial variable and Holder continuous with exponent 1/2 on the temporal variable.
