High Order Resolution in Reentry Flows in 3D

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 25, Issue 1

Abstract

This work focuses on a numerical simulation of reentry 3D-flows using high order resolution schemes. Euler and Navier-Stokes equations are studied, on conservative and finite volume approaches, and employing structured spatial discretization. The ENO (Essentially Non-Oscillatory) procedure is presented to a conserved variable interpolation process, using either the Newton method, to second-, third-, fourth- and fifth-orders of accuracy, or the Hermite method, to third- and fifth-orders of accuracy. Furthermore, the WENO (Weighted Essentially Non-Oscillatory) procedure is also tested, using the Newton interpolation process, to generate third- and fifth-orders of accuracy solutions. Results applying the MUSCL scheme (Monotone Upstream-centered Schemes for Conservation Laws) are also presented and serve as TVD (Total Variation Diminishing) benchmark purpose. In this context, the “hot gas” hypersonic thermochemical non-equilibrium 3D-flow around a blunt body has been simulated. The convergence process is accelerated to steady-state condition through a spatially variable time step procedure, which has proved effective gains in terms of computational acceleration. The reactive simulations involve Earth atmosphere chemical models of five and seven species, based on the Saxena and Nair and Blottner models, respectively. Results showed that the ENO procedure using Newton 5th-order interpolation scheme presents better overall solutions.

Authors and Affiliations

Edisson Sávio de Góes Maciel, Cláudia Regina de Andrade

Keywords

Related Articles

Wind Speed Equation of Circular Cyclone

This paper uses a point model of cylindrical box wrapped by zero-weighted membrane to derive a wind speed equation of circular cyclone by method of section based on Boyle’s law, Charles’ law and Newton’s laws. The obtain...

Properties of T–Anti-Fuzzy Ideals of a –Near-Ring

In this paper, we define Anti-fuzzy ideal of a -near-ring in and -anti-fuzzy ideal of a -near-ring in . we made an attempt to study the properties of -anti-fuzzy ideal of a -near-ring, union of -anti-fuzzy ideal...

Designing and Implementation of PIC Microcontroller Based Educational Kit

The microcontrollers are very common components in modern electronic systems. Their using is so widespread that it is almost impossible to work in electronics without coming across it. They are now providing us with a ne...

Boolean Product of Zero-one Matrices Application to Truth Values of Logical Connectives of Several Propositions

In this paper, the Boolean product of zero-one matrices are applied to obtain the truth values of several propositions with logical connectives. The propositional matrices are given in relation to the matrix algebric pro...

The Effect of Anisotropy on the Structure Optimization Using Golden-Section Search Algorithm Based on BEM

Aims: A shape optimization technique is developed, using the boundary element method, for two-dimensional anisotropic structures to study the effects of anisotropy on the displacements and stresses, then minimize weight...

Download PDF file
  • EP ID EP322400
  • DOI 10.9734/JAMCS/2017/36897
  • Views 87
  • Downloads 0

How To Cite

Edisson Sávio de Góes Maciel, Cláudia Regina de Andrade (2017). High Order Resolution in Reentry Flows in 3D. Journal of Advances in Mathematics and Computer Science, 25(1), 1-32. https://europub.co.uk/articles/-A-322400