numerical study of double-diffusive natural convective heat transfer in a curved cavity filledwith a porous medium has been carried out in the current study. polar system has beenselected as coordinate system. as a result, all equations have been discredited in r and θdirections. brinkmann extended darcy model has been utilized to express fluid flow inporous matrix in the enclosure. smaller and...

In this notes, we summarize numerical methods for solving Stokes equations on rectangular grid, and solve it by multigrid vcycle method with distributive Gauss-Seidel relaxation as smoothing. The numerical methods we concerned are MAC scheme, nonconforming rotate bilinear FEM and nonconforming rotate bilinear FVM. 1. PROBLEM STATEMENT We consider Stokes equation (1.1) 8 >< >: μ ~ u +rp =~ f in ...

In the present work, a parabolic trough solar (PTC) collector with inner helical axial fins as swirl generator or turbulator is considered and analyzed numerically. The three-dimensional numerical simulations have been done by finite volume method (FVM) using commercial CFD code, ANSYS FLUENT 18.2. spatial discretization of mass, momentum, energy equations, turbulence kinetic has obtained secon...

As we have seen in the previous lectures, FD are very intuitive but lack flexibility and accuracy towards complex geiometries. FEM solve the problem very effectively, but at the cost of a significant computational burden. As we shall see, the FVM offers a very effective intermediate strategy between the two. In this lecture we shall describe the main ideas behind the Finite Volume (FV) method, ...

Finite volume methods (FVM) and finite element methods (FEM) are popular tools to solve the parabolic partial differential equation describing the propagation of the electrical impulse in the heart muscle. This report demonstrates that these formulations are indeed equivalent provided that (1) linear elements are used for the FEM, and (2) the mass matrix is lumped. As a consequence, exact local...

In this notes, we summarize numerical methods for solving Stokes equations on rectangular grid, and solve it by multigrid vcycle method with distributive Gauss-Seidel relaxation as smoothing. The numerical methods we concerned are MAC scheme, nonconforming rotate bilinear FEM and nonconforming rotate bilinear FVM. 1. PROBLEM STATEMENT We consider Stokes equation (1.1) 8 >< >: μ ~ u +rp =~ f in ...

Analysis of viral particle heterogeneity produced from infected cells has been limited by the inefficiency traditional analytical methods to characterize large populations viruses at an individual level. Flow virometry (FVM) is emerging technique based on flow cytometry principles that enables a high throughput, multiparametric, and phenotypic characterization single resolution. Here, we perfor...