Validation Of The Kurganov Tadmor Kurganov Noelle Petrova Scheme For Rotating Detonation Engine Simulations Using Openfoam PDF Download

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Validation Of The Kurganov-Tadmor/Kurganov-Noelle Petrova Scheme for Rotating Detonation Engine Simulations Using OpenFOAM

Validation Of The Kurganov-Tadmor/Kurganov-Noelle Petrova Scheme for Rotating Detonation Engine Simulations Using OpenFOAM
Author: Chibuikem Ajaero
Publisher:
Total Pages:
Release: 2019
Genre:
ISBN:

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Detonation waves are a challenging field of study given the short time and length scales involved in the phenomenon. Such waves exhibit a complex structure consisting of a lead shock and shock waves travelling transversely to a detonation's normal propagation direction. The interaction between the shocks and the rapid chemical reactions they trigger results in the emergence of a natural length scale, the detonation cell size. There are still no complete theory or model that can accurately predict the cell size or a detonation waves initiation, propagation and failure dynamics. The numerical simulation of detonation waves is also challenging, due to the rapid reaction rates encountered. The Open source Field Operation And Manipulation (OpenFOAM) framework, commonly referred to as OpenFOAM, Computational Fluid Mechanics (CFD) package is increasingly used and referenced. One drawback of the stock OpenFOAM package is that the only finite volume numerical scheme available for the solution of the Euler equations in conservative form is the Kuganov-Tadmor (KT)/Kuganov-Noelle-Petrova (KNP) numerical scheme. Moreover, combustion is not implemented, hence which needs to be modified to simulate detonation waves; a coupling of compressible flows and reaction. This particular scheme is 2nd order accurate in smooth region based on the idea behind the Lax-Friedrichs scheme and which does not involve the solution to a Riemann problem in order to evaluate the intercell fluxes. This is unlike the methods currently used in detonation research, which nearly always consist of Godunov-type schemes with an approximate Riemann Solver such as Harten-Lax-van Leer-Contact (HLLC). OpenFOAM, with the KNP scheme, was recently used to simulate the two-dimensional structure of detonation waves despite having not been fully validated for the detonation simulation. Efforts to get access to the codes used proved abortive. In this work, we create a custom solver named rhoCentralFoamreac which we used to evaluate (validate) the KNP scheme for detonation cases, by simulating a standard 1D detonation case that usually results in pulsating propagation with a single mode. Metrics for detailed comparison and convergence studies are the oscillation peak pressure and period. Using the KNP scheme, we then examine OpenFoam as a CFD tool for the simulation of a detonation based engine, where an initiated wave propagates circumferentially in a combustion chamber, commonly referred to as a rotating detonation engine. We study the effect of different ignition methods, and initiation flow fields (subsonic and supersonic) on the formation of these rotating detonation waves.


Numerical Exploration of Rotating Detonation Rocket Engine Chamber Dynamics

Numerical Exploration of Rotating Detonation Rocket Engine Chamber Dynamics
Author: Mathias Ross
Publisher:
Total Pages: 0
Release: 2022
Genre:
ISBN:

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With efficiencies in conventional rocket designs reaching the limit of theoretical possibility,there has been renewed interest in technologies which may be able to shift the boundaries of efficiency. One such technology is the rotating detonation rocket engine, which has the potential to create highly efficient engines in a small form factor. However, the detonation dynamics and complex flowfields inside the combustion chamber are greatly dependent on geometry; in particular, the downstream nozzle design affects dynamics inside the combustion chamber. In this work, high fidelity large eddy simulations of gaseous methane-oxygen rotating detonation rocket engines are presented for five engine configurations. The first simulation discussed is a validation case from the AIAA model validation in propulsion workshop. A laser model based on the Beer-Lambert law was developed for com- paring simulations with experimental laser absorbance measurements, and used to directly relate the simulation with experimental measurements of temperature, pressure, and CO column density in the exhaust of the engine. The analysis found that the simulation over- predicted pressure and thrust in the engine, as has been the case in other simulations of the engine, but that features in the exhaust flowfield closely matched experimental measurements. Close agreement between simulation and experiment was also seen in the measured CO mole fraction of the exhaust. The effect of adding a converging-diverging nozzle to a rotating detonation rocket engine was explored in the other four simulations, which consider an engine of two different lengths, with and without a constriction. The geometries matched experimental tests previously conducted at the Air Force Research Laboratory, and the operational modes attained in the simulations were found in all cases to directly relate to experimental observations. In the unconstricted geometries, flow in the chamber exceeded Mach 1 in pockets up- stream of the chamber exit. However, geometries with a diverging-converging nozzle directly followed the Mach-area relationship, with supersonic flow existing only in the diverging regions of the nozzle. This suggests a fundamental difference between the flowfield present in RDRE geometries with and without an area constriction, even though the constriction studied was gradual enough that no reflected shocks were observed traveling upstream. The formation enthalpy of the flow was measured inside the chamber for all configurations, and demonstrated that the difference in pressures and detonation structures associated with the chamber area constriction did not result in a significant change in the amount of energy released through combustion. Adding a constriction increased the average pressure of the combustion chamber, which would typically result in increased combustive energy release, but no associated release through combustion was observed. As such, although the use of a converging-diverging nozzle increased overall performance, the induced change in operating mode was detrimental to the extraction of energy from the flow. Changing chamber length was found to have little impact on the operation of an unconstricted rotating detonation rocket engine. However, changing the length of a chamber with a constriction resulted in a change in operating mode, and decrease in the strength of the counter-propagating waves. This suggests that, although unconstricted chamber geometries are likely optimized at short lengths, the length of the chamber is an important parameter to be considered when the engine utilizes a chamber area constriction.


OpenFOAM®

OpenFOAM®
Author: J. Miguel Nóbrega
Publisher: Springer
Total Pages: 536
Release: 2019-01-24
Genre: Technology & Engineering
ISBN: 3319608460

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This book contains selected papers of the 11th OpenFOAM® Workshop that was held in Guimarães, Portugal, June 26 - 30, 2016. The 11th OpenFOAM® Workshop had more than 140 technical/scientific presentations and 30 courses, and was attended by circa 300 individuals, representing 180 institutions and 30 countries, from all continents. The OpenFOAM® Workshop provided a forum for researchers, industrial users, software developers, consultants and academics working with OpenFOAM® technology. The central part of the Workshop was the two-day conference, where presentations and posters on industrial applications and academic research were shown. OpenFOAM® (Open Source Field Operation and Manipulation) is a free, open source computational toolbox that has a larger user base across most areas of engineering and science, from both commercial and academic organizations. As a technology, OpenFOAM® provides an extensive range of features to solve anything from complex fluid flows involving chemical reactions, turbulence and heat transfer, to solid dynamics and electromagnetics, among several others. Additionally, the OpenFOAM technology offers complete freedom to customize and extend its functionalities.


Systems of Conservation Laws

Systems of Conservation Laws
Author: Yuxi Zheng
Publisher: Springer Science & Business Media
Total Pages: 324
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461201411

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This work should serve as an introductory text for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. The only requisite for the reader is a knowledge of the elementary theory of partial differential equations. Key features of this work include: * broad range of topics, from the classical treatment to recent results, dealing with solutions to 2D compressible Euler equations * good review of basic concepts (1-D Riemann problems) * concrete solutions presented, with many examples, over 100 illustrations, open problems, and numerical schemes * numerous exercises, comprehensive bibliography and index * appeal to a wide audience of applied mathematicians, graduate students, physicists, and engineers Written in a clear, accessible style, the book emphasizes more recent results that will prepare readers to meet modern challenges in the subject, that is, to carry out theoretical, numerical, and asymptotical analysis.


High Resolution Schemes for Hyperbolic Conservation Laws

High Resolution Schemes for Hyperbolic Conservation Laws
Author: A Harten
Publisher: Franklin Classics
Total Pages: 68
Release: 2018-10-15
Genre:
ISBN: 9780343187828

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This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves

Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock Waves
Author: Peter D. Lax
Publisher: SIAM
Total Pages: 55
Release: 1973-01-01
Genre: Technology & Engineering
ISBN: 0898711770

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This book deals with the mathematical side of the theory of shock waves. The author presents what is known about the existence and uniqueness of generalized solutions of the initial value problem subject to the entropy conditions. The subtle dissipation introduced by the entropy condition is investigated and the slow decay in signal strength it causes is shown.


On Finite-Difference Approximations and Entropy Conditions for Shocks (Classic Reprint)

On Finite-Difference Approximations and Entropy Conditions for Shocks (Classic Reprint)
Author: A. Harten
Publisher: Forgotten Books
Total Pages: 58
Release: 2016-09-15
Genre: Mathematics
ISBN: 9781333609528

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Excerpt from On Finite-Difference Approximations and Entropy Conditions for Shocks If u is a piecewise continuous weak solution, then itfollows from (see that across the line of discon. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.


Theory, Numerics and Applications of Hyperbolic Problems I

Theory, Numerics and Applications of Hyperbolic Problems I
Author: Christian Klingenberg
Publisher: Springer
Total Pages: 685
Release: 2018-06-23
Genre: Mathematics
ISBN: 3319915452

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The first of two volumes, this edited proceedings book features research presented at the XVI International Conference on Hyperbolic Problems held in Aachen, Germany in summer 2016. It focuses on the theoretical, applied, and computational aspects of hyperbolic partial differential equations (systems of hyperbolic conservation laws, wave equations, etc.) and of related mathematical models (PDEs of mixed type, kinetic equations, nonlocal or/and discrete models) found in the field of applied sciences.


Computer Supported Education

Computer Supported Education
Author: H. Chad Lane
Publisher: Springer Nature
Total Pages: 664
Release: 2020-11-09
Genre: Education
ISBN: 3030584593

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This book constitutes the thoroughly refereed proceedings of the 11th International Conference on Computer Supported Education, CSEDU 2019, held in Heraklion, Crete, Greece, in May 2019. The 30 revised full papers were carefully reviewed and selected from 202 submissions. The papers cover wide research fields including authoring tools and content development, AV-communication and multimedia, classroom management, e-Learning hardware and software, blended learning, critical success factors in distance learning.