共查询到18条相似文献,搜索用时 359 毫秒
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本文提出一种线性函数斜率的确定方法并证明用其近似代替网格内流动变量的初始分布,MUSCL格式具有二阶精度。引入单调性限制条件和一定的耗散机制后,该方法适合于Euler坐标系下的计算。本文在处理间断时,用激波关系式代替特征线方程,解决了特征线法在全流场计算中的应用问题。最后,本文给出Emery问题和一个火箭喷流问题的计算结果。 相似文献
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高精度多组分分段抛物线法(Piecewise Parabolic Method,PPM)在对可压缩多相流问题进行模拟计算时,在不同组分交界面上存在界面扩散。为此,通过引入包含界面压缩和密度修正的人工界面压缩方法,抑制界面扩散现象。采用一个界面函数表示运动的物质界面,在多组分质量守恒方程和输运方程中添加考虑人工压缩和人工黏性的压缩源项,并在伪时间内采用二阶中心差分法和两步Runge-Kutta方法进行离散求解,采用Strang型分裂格式实现了整体算法的时间二阶精度。一维与二维数值模拟试验表明,结合人工界面压缩之后的PPM能有效抑制界面上数值扩散问题,在长时间的数值模拟中,人工界面压缩能够将扩散界面厚度维持在一定网格之内且保持界面形状不改变,尤其对于涉及稀疏波的问题,如激波引起的水中气泡坍塌,界面压缩效果更为显著。 相似文献
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根据两介质五方程简化模型的基本假设,发展了适用于任意多种介质的体积分数方程。为了捕捉多介质界面,将HLLC-HLLCM混合型数值通量的计算格式推广应用于二维平面和柱几何的多介质复杂流动问题,在高阶精度的数据重构过程中采用斜率修正型人工压缩方法ACM。通过一维、二维多介质黎曼问题算例测试,结果表明:发展的计算格式能够较好地分辨接触间断和激波,间断附近物理量无振荡;对于添加了初始扰动的激波问题,能够有效抑制激波数值不稳定性;使用二维柱球SOD问题和接触间断型黎曼问题检验计算格式对多介质复杂流动问题的适应性。 相似文献
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本文从Sweby的显式TVD格式[2,3]出发,构造发一个推进方向一阶精度、侧向二阶精度的隐式TVD差分格式,并用于解可压缩流定常简化Naviev-Stokes(SNS)方程。对不出现流向分离的平板边界层和激波—边界层相互干扰两个问题的数值计算表明,方法可以有效捕捉流场中的间断。 相似文献
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本文研究了А.А.Самарский提出的拉格朗日坐标下气体力学方程组的完全守恒型差分格式[2],并给出了一种改进形式。对激波管问题所做的数值计算表明改进的格式具有激波过渡区窄,过跳与低亏小的优点,而且所需的计算时间远低于文[2]中的格式。 相似文献
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求解对流扩散方程的紧致修正方法 总被引:1,自引:0,他引:1
提出了求解对流扩散方程的紧致修正方法,该方法是在低阶离散格式的源项中,引入紧致修正项,从而构造高阶紧致修正格式,并进行求解.采用紧致修正方法对典型的对流扩散方程进行计算.结果表明,紧致修正方法虽然与二阶经典差分方法建立在相同的结点数上,但紧致修正方法的精度与紧致方法的精度相同,均具有四阶精度.所以紧致修正方法可以在少网... 相似文献
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为解决熵守恒格式在激波附近出现数值振荡的问题,本文将熵相容格式与MUSCL格式相结合,提出一种既能适合于激波问题、又不依赖于传统人工黏性经验模型的高分辨率熵相容格式,通过对多个激波问题的数值计算,并对比二阶中心格式、熵守恒格式、熵相容格式和高分辨率熵相容格式的计算结果,发现:熵相容格式具有较好的激波捕捉能力,有效解决了熵守恒格式在激波附近的数值振荡问题;MUSCL重构格式进一步提高了熵相容格式的数值模拟能力,既能精确捕捉激波附近的流动细节,又在光滑区保持二阶精度;在对比的四种格式中,本文提出的高分辨率熵相容格式对激波问题的预测性能最佳。该项工作对发展激波湍流相互作用模型、提高跨/超音速叶轮机械流动预测精度具有理论价值和应用潜力。 相似文献
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《Journal of computational physics》2008,227(1):12-35
The idea of this work is to compare a new positive and entropy stable approximate Riemann solver by Francois Bouchut with a state-of the-art algorithm for astrophysical fluid dynamics. We implemented the new Riemann solver into an astrophysical PPM-code, the Prometheus code, and also made a version with a different, more theoretically grounded higher order algorithm than PPM. We present shock tube tests, two-dimensional instability tests and forced turbulence simulations in three dimensions. We find subtle differences between the codes in the shock tube tests, and in the statistics of the turbulence simulations. The new Riemann solver increases the computational speed without significant loss of accuracy. 相似文献
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A modified Godunov scheme possessing monotonicity and second-order accuracy is used in the framework of an equilibrium model
to consider the propagation of shock waves in a gas-liquid foam with a highly nonuniform density distribution. A comparison
of the numerical simulation and experimental studies reveals the basic features of the gasdynamic disturbances that arise
in two-phase media of this kind.
Zh. Tekh. Fiz. 67, 1–9 (November 1997) 相似文献
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In this study, hybrid periodic permanent magnet (PPM) system is studied, which has high axial magnetic field and low magnetic leakage. By simulation computation, some laws of magnetic field distribution vs. structure dimensions were obtained. A hybrid PPM is designed and constructed whose peak field reaches 0.6 T. The factors inducing discrepancies between computational results and practical measurements are analyzed. The magnetic field distribution is very sensitive to the variations of constructional parameters. Construction accuracy greatly influences the magnetic field distribution. Research results obtained here are potentially valuable for future work. 相似文献
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Sergey D. Ustyugov Mikhail V. Popov Alexei G. Kritsuk Michael L. Norman 《Journal of computational physics》2009,228(20):7614-7633
Stable, accurate, divergence-free simulation of magnetized supersonic turbulence is a severe test of numerical MHD schemes and has been surprisingly difficult to achieve due to the range of flow conditions present. Here we present a new, higher order-accurate, low dissipation numerical method which requires no additional dissipation or local “fixes” for stable execution. We describe PPML, a local stencil variant of the popular PPM algorithm for solving the equations of compressible ideal magnetohydrodynamics. The principal difference between PPML and PPM is that cell interface states are evolved rather that reconstructed at every timestep, resulting in a compact stencil. Interface states are evolved using Riemann invariants containing all transverse derivative information. The conservation laws are updated in an unsplit fashion, making the scheme fully multidimensional. Divergence-free evolution of the magnetic field is maintained using the higher order-accurate constrained transport technique of Gardiner and Stone. The accuracy and stability of the scheme is documented against a bank of standard test problems drawn from the literature. The method is applied to numerical simulation of supersonic MHD turbulence, which is important for many problems in astrophysics, including star formation in dark molecular clouds. PPML accurately reproduces in three-dimensions a transition to turbulence in highly compressible isothermal gas in a molecular cloud model. The low dissipation and wide spectral bandwidth of this method make it an ideal candidate for direct turbulence simulations. 相似文献
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In this paper, the accuracy of Chang’s unstructured space–time conservation element and solution element (CE/SE) scheme is analysed for the first time. Based on a redefinition of conservation elements and solution elements, an improved two-dimensional (2D) unstructured CE/SE scheme with an adjustable parameter β is proposed to accurately capture shock waves. The new scheme can be applied to any type of grid without special treatment. Compared with Chang’s original parameter α, larger β dose not cost extra computational resources. Numerical tests reveal that the new scheme is not only clear in physical concept, compact and highly accurate but also more capable of capturing shock waves than the popular fifth-order accurate weighted essentially non-oscillatory scheme. 相似文献