CE/SE方法及其在脉冲爆轰发动机流场计算中应用的研究
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摘要
CE/SE方法是近年来提出的一种新的求解双曲型守恒方程的数值计算方法。它在构造思想上与其它传统的数值方法不同,将空间和时间完全统一起来同等对待,具有计算精度高、捕捉间断能力强等突出优点。脉冲爆轰发动机是一种利用脉冲式爆轰波产生推力的新概念发动机,由于具有结构简单、热循环效率高、单位燃料消耗率低、工作范围广等特点,使它在军用和民用方面具有广阔的应用前景,可能成为本世纪新型动力装置。本文根据时空守恒元与求解元思想,推导了一维、二维和三维CE/SE方法的计算格式,用于对脉冲爆轰发动机内、外流场的数值计算中,编制了相关数值计算程序,获得了脉冲爆轰发动机内、外流场的变化特点。主要内容包括:
(1)推导了一维CE/SE方法计算格式,用于对脉冲爆轰发动机内一维流场的数值计算中,编制了相关数值计算程序,并分析得到了燃料填充系数及几种不同形状喷管对脉冲爆轰发动机性能影响关系;
(2)推导了二维无粘CE/SE方法计算格式,编制相关数值计算程序,实现了对脉冲爆轰发动机内、外轴对称无粘流场的数值模拟,获得了脉冲爆轰发动机内、外流场的变化特点;
(3)推导了二维粘性及湍流CE/SE方法计算格式,将之用于对脉冲爆轰发动机内、外轴对称粘性及湍流流场的数值计算中,编制了相关数值计算程序,获得了脉冲爆轰发动机内、外粘性流场的变化特点;
(4)建立了多管脉冲爆轰发动机数学物理模型,推导了三维无粘CE/SE方法计算格式,编制了相关数值计算程序,实现了对多管脉冲爆轰发动机外三维流场的数值模拟;
(5)推导了三维粘性CE/SE方法计算格式,用于对多管脉冲爆轰发动机外三维粘性流场的数值计算中,编制了相关数值计算程序,计算获得了多管脉冲爆轰发动机外粘性流场的变化特点;
(6)推导了一维、二维非敏感CFI数CE/SE方法,即CNIS方法,用激波管问题和斜激波反射问题对该方法进行了验证,并将该CNIS方法应用于脉冲爆轰发动机内、外流场的数值计算中。
The space-time conservation element and solution element(CE/SE)method is a new CFD method for hyperbolic conservation laws.The CE/SE method differs substantially in both concept and methodology from the conventional methods.Its particular features include a unified treatment of space and time,high-resolution,robustness and accuracy. Pulse detonation engine(PDE)is a novel engine which produces periodic impulse by utilizing repetitive detonation.PDE has expansive foreground in application of army and civilian because of its advantages in hardware simplicity,thermodynamic cycle efficiency, low fuel wastage and wide working scope.It maybe become new power device in this century.In this dissertation,according to the theory of conservation element and solution element(CE/SE),one-,two-and three-dimensional numerical methods are induced to calculate the flow field inside and outside PDE.The corresponding numerical calculation programs have been made,and the characteristics of the flow field in PDE have been attained.The main contents of this dissertation are as following:
(1)The one-dimensional CE/SE method is induced to calculate the flow field inside PDE. The corresponding numerical calculation program is made.Through analyzing the results,the effect about the fuel filling coefficients and several different nozzles to pulse detonation engine performance have been obtained;
(2)The two-dimensional inviscid CE/SE method is induced to simulate the axis-symmetry、inviscid flow field inside and outside PDE.The corresponding numerical calculation program is made.The characteristics of the interior and external flow in PDE have been attained;
(3)The two-dimensional viscous and turbulent CE/SE methods are induced to simulate the axis-symmetry、viscous and turbulent flow field inside and outside PDE.The corresponding numerical calculation programs are made.The characteristics of the viscous flow in PDE have been attained;
(4)The math and physics models about multi-tube pulse detonation engine are established. The three-dimensinoal inviscid CE/SE method is induced to simulate the inviscid flow field outside multi-tube PDE.The corresponding numerical calculation program is made;
(5)The three-dimensinoal viscous CE/SE method is induced to simulate the viscous flow field outside multi-tube PDE.The corresponding numerical calculation program is made,the characteristics of the viscous flow outside multi-tube PDE have been attained;
(6)The one-and two-dimensional CE/SE methods based on courant number insensitive scheme(CNIS)are induced,and the methods are validated by the shock problem and oblique shock reflection problem.Then the CNIS methods are used to simulate the folw field inside and outside PDE successfully.
(1)推导了一维CE/SE方法计算格式,用于对脉冲爆轰发动机内一维流场的数值计算中,编制了相关数值计算程序,并分析得到了燃料填充系数及几种不同形状喷管对脉冲爆轰发动机性能影响关系;
(2)推导了二维无粘CE/SE方法计算格式,编制相关数值计算程序,实现了对脉冲爆轰发动机内、外轴对称无粘流场的数值模拟,获得了脉冲爆轰发动机内、外流场的变化特点;
(3)推导了二维粘性及湍流CE/SE方法计算格式,将之用于对脉冲爆轰发动机内、外轴对称粘性及湍流流场的数值计算中,编制了相关数值计算程序,获得了脉冲爆轰发动机内、外粘性流场的变化特点;
(4)建立了多管脉冲爆轰发动机数学物理模型,推导了三维无粘CE/SE方法计算格式,编制了相关数值计算程序,实现了对多管脉冲爆轰发动机外三维流场的数值模拟;
(5)推导了三维粘性CE/SE方法计算格式,用于对多管脉冲爆轰发动机外三维粘性流场的数值计算中,编制了相关数值计算程序,计算获得了多管脉冲爆轰发动机外粘性流场的变化特点;
(6)推导了一维、二维非敏感CFI数CE/SE方法,即CNIS方法,用激波管问题和斜激波反射问题对该方法进行了验证,并将该CNIS方法应用于脉冲爆轰发动机内、外流场的数值计算中。
The space-time conservation element and solution element(CE/SE)method is a new CFD method for hyperbolic conservation laws.The CE/SE method differs substantially in both concept and methodology from the conventional methods.Its particular features include a unified treatment of space and time,high-resolution,robustness and accuracy. Pulse detonation engine(PDE)is a novel engine which produces periodic impulse by utilizing repetitive detonation.PDE has expansive foreground in application of army and civilian because of its advantages in hardware simplicity,thermodynamic cycle efficiency, low fuel wastage and wide working scope.It maybe become new power device in this century.In this dissertation,according to the theory of conservation element and solution element(CE/SE),one-,two-and three-dimensional numerical methods are induced to calculate the flow field inside and outside PDE.The corresponding numerical calculation programs have been made,and the characteristics of the flow field in PDE have been attained.The main contents of this dissertation are as following:
(1)The one-dimensional CE/SE method is induced to calculate the flow field inside PDE. The corresponding numerical calculation program is made.Through analyzing the results,the effect about the fuel filling coefficients and several different nozzles to pulse detonation engine performance have been obtained;
(2)The two-dimensional inviscid CE/SE method is induced to simulate the axis-symmetry、inviscid flow field inside and outside PDE.The corresponding numerical calculation program is made.The characteristics of the interior and external flow in PDE have been attained;
(3)The two-dimensional viscous and turbulent CE/SE methods are induced to simulate the axis-symmetry、viscous and turbulent flow field inside and outside PDE.The corresponding numerical calculation programs are made.The characteristics of the viscous flow in PDE have been attained;
(4)The math and physics models about multi-tube pulse detonation engine are established. The three-dimensinoal inviscid CE/SE method is induced to simulate the inviscid flow field outside multi-tube PDE.The corresponding numerical calculation program is made;
(5)The three-dimensinoal viscous CE/SE method is induced to simulate the viscous flow field outside multi-tube PDE.The corresponding numerical calculation program is made,the characteristics of the viscous flow outside multi-tube PDE have been attained;
(6)The one-and two-dimensional CE/SE methods based on courant number insensitive scheme(CNIS)are induced,and the methods are validated by the shock problem and oblique shock reflection problem.Then the CNIS methods are used to simulate the folw field inside and outside PDE successfully.
引文
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