In this paper, the cell-centered finite volume method (CC-FVM) has been presented to simulate the axisymmetric radial flow toward a pumping well. The model is applied to the unstructured triangular grids which allows to simulate inhomogeneous and complex-shaped domains. Due to the non-orthogonality of the irregular grids, the multipoint flux approximation (MPFA) methods are used to discretize t...

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...

Mathematical and computational modeling of calcium signalling in nerve cells has produced considerable insights into how the cells contracts with other cells under the variation of biophysical and physiological parameters. The modeling of calcium signaling in astrocytes has become more sophisticated. The modeling effort has provided insight to understand the cell contraction. Main objective of ...

In this paper, the flow of an Oldroyd-B fluid past an array of circular cylinders in a channel is simulated by a parallelized pressure-based Finite Volume Method (FVM) using fine unstructured meshes. The numerical method is using the Discrete Elastic Viscous Split Stress vorticity (DEVSS-omega) formulation and the SIMPLER iteration algorithm. The spacing parameter between cylinders is selected ...

Calcium [Ca] is an important second messenger which plays an important role in signal transduction. There are several parameters that affect its concentration profile like buffer source etc. The effect of stationary immobile buffer on Ca concentration has been incorporated which is a very important parameter needed to be taken into account in order to make the model more realistic. Interdepende...

This study deals with the numerical solution of a 2D unsteady flow of a compressible viscous fluid in a channel for low inlet airflow velocity. The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes, nearly closing the channel during oscillations. The flow is described by the system of Navier-Stokes equations for laminar flows....

This paper was concerned to simulate both wet and dry bed dam break problems. A high-resolution finite volume method (FVM) was employed to solve the one-dimensional (1D) and two-dimensional (2D) shallowwater equations (SWEs) using an unstructured Voronoi mesh grid. In this attempt, the robust local Lax-Friedrichs (LLxF) scheme was used for the calculating of the numerical flux at cells interfac...

The atmospheric flow and dispersion of traffic exhaust were numerically studied in this work while considering a model street canyon intersection city. finite volume method (FVM)-based large-eddy simulation (LES) technique line with ANSYS Fluent have been used for pollutant modelling through the consideration boundary layer (ABL). Hexahedral elements are considered computational domain discreti...