Numerical simulations of unsteady three-dimensional compressible flow problems require the solution of large, sparse, nonlinear systems of equations arising from the discretization of Euler or Navier-Stokes equations on unstructured, possibly dynamic, meshes. In this paper we study a highly parallel, scalable, and robust nonlinear iterative method based on the Defect Correction method (DeC), th...

When a droplet impacts a solid surface at high speed, the contact periphery expands very quickly and liquid compressibility plays an important role in the initial dynamics and the formation of lateral jets. The high speed impact results in high pressures that can account for the surface erosion. In this study, we numerically investigated a high speed droplet impacts on a solid wall. The multico...

In this paper, we improve the Navier-Stokes flow solver developed by Sun et al based on the spectral volume method in the following two aspects: the development of a more efficient implicit/p-multigrid solution approach, and the use of a new viscous flux formula. An implicit preconditioned LU-SGS p-multigrid method developed for the spectral difference (SD) Euler solver by Liang et al is adopte...

In this paper the high-order accurate spectral difference method for the Navier-Stokes equations is applied to moving boundary problems. Boundary movements are achieved, firstly, through rigid displacement of the entire flow domain. In order to account for the dynamic rigid mesh motion, the Navier-Stokes equations are modified through an unsteady coordinate transformation. Airfoils in pitching ...

Computational fluid dynamics has undergone tremendous development as a discipline for three decades. This has been made possible by progresses in many fronts, including numerical algorithms, grid generation and adaptation, as well as the dramatic increase in computer CPU speeds. Moreover, in recent years there is a growing interest in multidisciplinary CFD applications such as aeroacoustics, tu...

flood flow importance enforces we to simulate its components exactly. in this study, saint-venant equations in conservative form are usedto simulate one-dimensional rapidly varied flow in the river. upstream methods of godunov family in finite volume frame work are used to numerical solution. according to flow conditions in the river, the equations used are included in the source term of the be...

An improved numerical solver for the unified solution of compressible and incompressible fluids involving interfaces is proposed. The present method is based on the CIP-CUP (Cubic Interpolated Propagation / Combined, Unified Procedure) method, which is a pressure-based semi-implicit solver for the Euler equations of fluid flows. In Part I of this series of articles [M. Ida, Comput. Phys. Commun...

most of the earth's crust contains fluids, and fractures are common throughout the upper part. they exist at a wide range of scales from micro-fractures within grains to major faults and shear zones that traverse the crust. in this paper, the stress-dependent permeability in fractured rock masses have been investigated considering the effects of nonlinear normal deformation and shear dilation o...

In this paper it is attempted to investigate the behavior of an inviscid flow in the meridional plane of an axial flow compressor. For this purpose the 3-D unsteady Euler equations in cylindrical coordinate are averaged in tangential direction. Therefore, the equations are reduced to a 2-D system. By averaging the tangential component of momentum equation, a blade force will result. Axial and r...

Highorder extensions of the classical Godunov scheme offer computationally attractive features including inherent conservation, geometric flexibility, and accuracy for solving hyperbolic conservation laws. The Godunov-type methods typically do not rely on staggered grids, and the cellaveraged solution is not assumed to be continuous across the cell (control volume) edges. The discontinuity of t...