Navier-Stokes equationsparallel systemsflow fieldhierarchyparallel splitthree-dimensional flowsA new general approach for numerically computing flow fields on parallel computing environments is presented, discu
Hung TK, Brown TD. An implicit ynite-di erence method for solving the Navier-Stokes equations using orthogonal curvilinear coordinates. Journal of Computational Physics 1977; 23:343-363.An implicit finite-difference method for solving the Navier-Stokes equation using orthogonal curvilinear coordinates ...
The method of approximate particular solutions in terms of its global formulation is developed and implemented to solve the two-dimensional Navier–Stokes system of equations for incompressible Newtonian fluids numerically. The fluid velocity and pressure fields are approximated by a linear superposition of...
To numerically solve this PDE, we first discretize it into a set of finite-difference equations by replacing partial derivatives with central differences. A central-difference approximation can be derived from the Taylor expansion, shown in Equation 44-4. The equation shows first-or...
Because the Navier-Stokes equation is a high-index differential algebraic equation, options are specified to time-integrate the equations efficiently. The maximum difference order of the time integrator is reduced to minimize the number of rejected steps. The time-dependent boundary conditions are diffe...
Other numerical techniques use a semi-Lagrangian approach for solving advection dominated PDEs on static and moving surfaces, as well as the Navier- Stokes equation [1, 2]. However, the authors did not provide any convergence analysis of the methods or the conservation of the mass and momentum...
Chen, L., Shen, J., Xu, C.: Spectral direction spitting schemes for the incompressible Navier–Stokes equations. East Asia J. Appl. Math. 1, 215–234 (2011) MATH MathSciNet Google Scholar Douglas Jr, J.: On the numerical integration of \(\frac{\partial ^2 u}{\partial x^2} +...
Newtonian fluids described by Navier Stokes equations are extensively studied in the literature for the past few decades. The unsteady free flow of a Casson fluid over an oscillating vertical plate with constant wall temperature has been studied. The Casson fluid model is used to distinguish the no...
Meshless method GPU computing Multi-layered point reordering Shared memory access tuning Compressible turbulent flows Reynolds-averaged Navier–Stokes equations 1. Introduction With the advent of high-performance graphics processing unit (GPU) computing technology, GPU accelerations for numerical methods have ...
In the limit of vanishing viscosity, the Navier-Stokes equations lead to a fundamentally different set of solutions than the zero viscosity case, known as the Euler solutions which generally contain discontinuities. The infinite domain cases of 2-D flows past a cylinder and 3-D flows past a ...