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

The Behrens-Fisher Problem: A Z Distribution Approach

We propose the Z distribution to tackle the Behrens-Fisher problem. First, we define the Z distribution which is a generalization of the t distribution, and then find the pdf and cdf of the Z distribution. After that, we...

Impact of Delay in Immune Response Activation on HIV Infection Dynamics

In this work, we propose an HIV infection model with cure of infected cells in eclipse stage and delay in the activation of immune response. The stability of the equilibria and the existence of the Hopf bifurcation are i...

Fixed Point of Presic Type Mapping in G-Metric Spaces

In this paper, we give a xed point theorem for Presic type contractive mapping in G-metric space. We also present an example to validate our result.

Empirical Performance of Internal Sorting Algorithm

Internal Sorting Algorithms are used when the list of records is small enough to be maintained entirely in primary memory for the duration of the sort, while External Sorting Algorithms are used when the list of records...

Solving the Space -Time Fractional RLW and MRLW Equations Using Modified Extended Tanh Method with the Riccati Equation

In the present paper, a traveling wave solution has been established using the modified extended tanh method for space-time fractional nonlinear partial differential equations. We used this method to find exact solutions...

Download PDF file
  • EP ID EP322400
  • DOI 10.9734/JAMCS/2017/36897
  • Views 88
  • 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