Recent content by lmal

I have posted same question here: https://www.cfd-online.com/Forums/main/195470-convergence-order-three-point-central-finite-difference-scheme.html If we use classical Galerkin FEM and quadratic Lagrangian polynomials we will get that solution converges by order 3. If we differentiate numerical...

Thx, Chestermiller, but I'm interested how can I relate this with convergence of discretization error for approximation of boundary value problem with FDM, i.e., convergence order of numerical solution, and not truncation error for approximation of derivative.

Thx NFuller, but that wasn't what I had in mind. Here are some more details. I used example of linear 1D Poisson equation (smooth exact solution) and compared convergence of few numerical methods with different order of basis (interpolation) functions. I used B-spline functions as basis...

For example, when we solve simple 1D Poisson equation by finite difference method, why three point central difference scheme on uniform grid (attached image) is second order method for solution convergence? I understand why approximation of first derivative is second order (and that second...

From incompressible continuity equation we have: du/dx+dv/dy+dw/dz=0. If dv/dy=0 and dw/dz=0 which is thru if there is no-slip condition then du/dx must be zero to fulfill continuity constrain?

But in incompressible flow normal viscous stress on solid surface should be zero? If solid surface is assumed vertical then on wall there is dv/dy=0 and dw/dz=0 which implies (by incompressible continuity equation) that du/dx=0, so normal viscous stress on surface is zero. Am I wright?