不可压缩流体有限体积格式的收敛性
Convergence of a finite volume scheme for the incompressible fluids
AI总结：
针对二维不可压缩Navier-Stokes方程，采用三角网格和投影法，证明有限体积格式的收敛性。
摘要：
我们考虑二维不可压缩Navier-Stokes方程的有限体积格式。使用三角网格。速度和压力的未知量分别分片常数和仿射。采用投影法处理不可压缩约束。在之前的论文中，已经证明了该格式的稳定性。我们由此推断其收敛性。
英文摘要：
We consider a finite volume scheme for the two-dimensional incompressible Navier-Stokes equations. We use a triangular mesh. The unknowns for the velocity and pressure are respectively piecewise constant and affine. We use a projection method to deal with the incompressibility constraint. In a former paper, the stability of the scheme has been proven. We infer from it its convergence.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
