沿岸回流区污染物对流扩散的数值模拟

为研究回流区污染物堆积的机理及规律,采用高阶三点紧致差分格式对涡量-流函数方程和污染物对流扩散方程进行高精度数值求解,得到了污染物堆积与回流区岸线角度、排放点位置之间的定量关系.该方法有效抑制了通常的数值方法中对流项差分离散造成数值不稳定的现象,且程序编制简洁,运行效率高。数值计算表明该法有效、可靠.研究结果对沿岸排污点布置、减少海域污染具有一定的现实指导意义,并具有重要的理论价值.

Numerical simulation of pollutants convection diffusion in coastwise recirculation zone

As recirculation zone formed by coastal water flow make pollutants accumulation so as to lead the environment deterioration,a 3-points high order compact(HOC) difference scheme was used in high accuracy numerical computation of the vortex-stream function equations and pollutants convection diffusion equation to study its formation mechanism and law of pollutants accumulation.The quantitative relationships of pollutants accumulation between angle of recirculation zone and position of discharging source were obtained.The method can prevent the instability of dispersing the convection terms compared with traditional numerical schemes,and be easy to pro-gram and has good efficiency.The results provide guidance in arrangement of discharging points and decreasing pollutants in the near shore regions,therefore it has theoretic and realistic values.