FLUX LIMITERS COMPARISON FOR RESOLUTION OF EULER EQUATION BY TVD METHOD IN QUASI ONE-DIMENSIONAL NOZZLES WITH SUBSONIC/SUPERSONIC FLOW

2017 ◽  
Author(s):  
Rafael Martins de Oliveira e Silva ◽  
Diomar Cesar Lobão ◽  
Panters Rodríguez Bermudez ◽  
Gustavo Benitez Alvarez
Keyword(s):  
Supersonic Flow ◽  
Euler Equation ◽  
One Dimensional ◽  
Tvd Method ◽  
Flux Limiters

scholarly journals Conditions for one-dimensional supersonic flow of quantum gases

2004 ◽  
Vol 70 (6) ◽  
Author(s):  
S. Giovanazzi ◽  
C. Farrell ◽  
T. Kiss ◽  
U. Leonhardt
Keyword(s):  
Supersonic Flow ◽  
Quantum Gases ◽  
One Dimensional

scholarly journals Development of High-Resolution Total Variation Diminishing Scheme for Linear Hyperbolic Problems

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Rabie A. Abu Saleem ◽  
Tomasz Kozlowski
Keyword(s):  
High Resolution ◽  
Total Variation ◽  
Initial Conditions ◽  
Hyperbolic Problems ◽  
Total Variation Diminishing ◽  
One Dimensional ◽  
Flux Limiter ◽  
Variation Diminishing ◽  
Flux Limiters ◽  
Theta Method

A high-resolution, total variation diminishing (TVD) stable scheme is derived for scalar hyperbolic problems using the method of flux limiters. The scheme was constructed by combining the 1st-order upwind scheme and the 3rd-order quadratic upstream interpolation scheme (QUICK) using new flux limiter function. The new flux limiter function was established by imposing several conditions to ensure the TVD properties of the scheme. For temporal discretization, the theta method was used, and values for the parameter θ were chosen such that the scheme is unconditionally stable. Numerical results are presented for one-dimensional pure advection problems with smooth and discontinuous initial conditions and are compared to those of other known numerical schemes. The results show that the proposed numerical method is stable and of higher order than other common schemes.

scholarly journals AERODYNAMIC ANALYSIS OF A ROLLING WRAPAROUND FIN PROJECTILE IN SUPERSONIC FLOW

2012 ◽  
Vol 19 ◽  
pp. 276-282 ◽  
Author(s):  
JUNG-YOUNG KIM ◽  
SUNG-IN CHO ◽  
IN LEE ◽  
HYOUNG-JIN NA ◽  
SANG-YOUNG JUNG
Keyword(s):  
Supersonic Flow ◽  
Euler Equation ◽  
Three Dimensional ◽  
Numerical Results ◽  
Experimental Results ◽  
Coordinate Frame ◽  
Experiment Data ◽  
Roll Damping ◽  
Time Marching ◽  
Supersonic Region

In this paper, the roll characteristics of a rolling wraparound fin projectile have been investigated in supersonic region. Computation of the flowfield was performed using a time-marching, three-dimensional Euler equation in a body fixed rotating coordinate frame. First, the roll producing moment coefficients of a projectile were obtained from the flowfiled solution at various Mach numbers and compared with the experimental and numerical results. They showed favorable agreement with experimental results in magnitude and sign. Next, the roll damping moment coefficients of a rolling wraparound fin were computed and compared with correlation based on experiment data. The correlation gave a somewhat larger value in magnitude than the present computation. However, the computed values agreed well with correlation in the trend.

Empirical Equations Jor the Thrust Generated by an Ideal Supersonic Nozzle

1957 ◽  
Vol 61 (564) ◽  
pp. 830-831
Author(s):  
P. N. Rowe
Keyword(s):  
Supersonic Flow ◽  
Pressure Ratio ◽  
Supersonic Nozzle ◽  
Empirical Equations ◽  
One Dimensional ◽  
Dimensional Flow ◽  
Flow Through ◽  
Image Position ◽  
The Relationship

The dimensionless thrust generated by supersonic flow through a convergent-divergent nozzle is given by Ref. 1,1which takes its optimum value, bmax when pe = pa.For ideal one-dimensional flow, the relationship between Ae and pe is given by2and the optimum dimensionless thrust by3Where4From equations (2) and (3), the constant D in equation (1) can be evaluated and thence the thrust of an ideal nozzle at any pressure ratio provided that no separation occurs.Equations (2) and (3) are tedious to evaluate and it is not easy to estimate the effect of changes in γ.

State Estimation for the Homogeneous 1-D Euler Equation by Unscented Kalman Filtering

2015 ◽  
Author(s):  
Sascha Wolff ◽  
Jan-Simon Schäpel ◽  
Phillip Berndt ◽  
Rudibert King
Keyword(s):  
Flow Field ◽  
Euler Equation ◽  
State Estimation ◽  
Kalman Filtering ◽  
Unscented Kalman Filter ◽  
Estimation Method ◽  
Dynamic State ◽  
Pressure Measurements ◽  
One Dimensional ◽  
Dynamic State Estimation

In this article we present a dynamic state estimation method for a one dimensional flow field which is described by the homogeneous Euler equation. The estimated quantities include the pressure, velocity, density and temperature field, which are of interest, for instance, for some combustion concepts. The algorithm relies only on a small number of discrete pressure measurements from the flow field. The influence of the number of used pressure measurements on the convergence speed of the algorithm is investigated. For the state estimation, an Unscented Kalman Filter scheme is exploited. The proposed method is applied in numerical simulations to demonstrate its effectiveness.

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