Compact higher-order(HO)schemes for a new finite difference method,referred to as the Cartesian cut-stencil FD method,for the numerical solution of the convection-diffusion equation in complex shaped domains have been...Compact higher-order(HO)schemes for a new finite difference method,referred to as the Cartesian cut-stencil FD method,for the numerical solution of the convection-diffusion equation in complex shaped domains have been addressed in this paper.The Cartesian cut-stencil FD method,which employs 1-D quadratic transformation functions to map a non-uniform(uncut or cut)physical stencil to a uniform computational stencil,can be combined with compact HO Pad´e-Hermitian formulations to produce HO cut-stencil schemes.The modified partial differential equation technique is used to develop formulas for the local truncation error for the cut-stencil HO formulations.The effect of various HO approximations for Neumann boundary conditions on the solution accuracy and global order of convergence are discussed.The numerical results for second-order and compact HO formulations of the Cartesian cut-stencil FD method have been compared for test problems using the method of manufactured solutions.展开更多
为了解决目前剖面图生成的实时性、鲁棒性和准确性的问题,本研究提出从图像空间出发,利用双模板缓冲技术解决剖切问题的计算瓶颈,同时借助RTT(Render to Texture)相机技术和高分辨率技术实现任意直线切割下的剖面图高精度输出,最后将剖...为了解决目前剖面图生成的实时性、鲁棒性和准确性的问题,本研究提出从图像空间出发,利用双模板缓冲技术解决剖切问题的计算瓶颈,同时借助RTT(Render to Texture)相机技术和高分辨率技术实现任意直线切割下的剖面图高精度输出,最后将剖面图矢量化以获得带有属性的矢量图.实验证明,本研究提出的基于三维地质模型的矢量地质剖面图实时生成技术具有可实现性.通过与传统剖切对比,证明我们的方法在剖切效率上有高达99.9%的提升,实现了剖面图生成的实时性且输出的矢量剖面图地质界线一致且清晰.为地质行业进入三维化时代提供了一种基于三维地质模型的实时剖面图生成的新思路,对剖面图实时生成具有一定的参考意义.展开更多
基金support from the Natural Sciences and Engineering Research Council of Canada through the Discovery Grants program.
文摘Compact higher-order(HO)schemes for a new finite difference method,referred to as the Cartesian cut-stencil FD method,for the numerical solution of the convection-diffusion equation in complex shaped domains have been addressed in this paper.The Cartesian cut-stencil FD method,which employs 1-D quadratic transformation functions to map a non-uniform(uncut or cut)physical stencil to a uniform computational stencil,can be combined with compact HO Pad´e-Hermitian formulations to produce HO cut-stencil schemes.The modified partial differential equation technique is used to develop formulas for the local truncation error for the cut-stencil HO formulations.The effect of various HO approximations for Neumann boundary conditions on the solution accuracy and global order of convergence are discussed.The numerical results for second-order and compact HO formulations of the Cartesian cut-stencil FD method have been compared for test problems using the method of manufactured solutions.
文摘为了解决目前剖面图生成的实时性、鲁棒性和准确性的问题,本研究提出从图像空间出发,利用双模板缓冲技术解决剖切问题的计算瓶颈,同时借助RTT(Render to Texture)相机技术和高分辨率技术实现任意直线切割下的剖面图高精度输出,最后将剖面图矢量化以获得带有属性的矢量图.实验证明,本研究提出的基于三维地质模型的矢量地质剖面图实时生成技术具有可实现性.通过与传统剖切对比,证明我们的方法在剖切效率上有高达99.9%的提升,实现了剖面图生成的实时性且输出的矢量剖面图地质界线一致且清晰.为地质行业进入三维化时代提供了一种基于三维地质模型的实时剖面图生成的新思路,对剖面图实时生成具有一定的参考意义.
