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numerical dissipation
    A TVD SCHEME WITH LESS NUMERICAL DISSIPATION
    一种具有较小数值耗散的对称TVD格式
    Numerical dissipation and dispersion of Hybrid Finite Analytic Method
    混合有限分析格式的数值耗散及频散
    The QBC difference scheme is successfully used in the advection part, which saves the calculation period and avoids the numerical dissipation and oscillation.
    成功地将QBC 差分格式应用于大涡模拟对流项中,既即缩短了计算时间,亦可消除数值耗散和振荡。
    In the material transportation equation computing temperature, salinity and suspended sediment, the interpolation method is modified to improve the computing precision of the horizontal diffusion term and to decrease the numerical dissipation and instability occurring in the computation so that it can be applied to the case of more intensive bottom slope.
    在温、盐和悬沙计算的物质输运方程中,改进了插值方法,提高了水平扩散项的计算精度,减少了数值计算中产生的数值耗散和数值振荡,并可应用到坡度变化较剧烈情况。
    However, when we use these schemes to compute the initial problem of hyperbolic conservation laws, there is still numerical dissipation near the interface, that is to say, the resolution is decreased near the interface.
    但是,我们知道,即使用这两种格式来计算双曲守恒律方程的初值问题,在间断面的附近仍会发生数值耗散,也就是说在间断处的分辨率降低了。
    The comparison between Batina's centeral gridless method and the implicit gridless method with upwind scheme show that the latter has the following advantages: fast speed of convergence, small numerical dissipation, better ability to catch shock, good geometrical flexibility and a wide applied range of Ma number.
    将发展的迎风型隐式无网格算法与Batina的中心型无网格算法进行了对比计算,结果表明:基于AUSM~+-up格式的隐式无网格算法具有收敛速度快、数值耗散小、激波捕捉能力强、几何灵活性好、应用马赫数范围广的优点。
    The comparison between grid method and the implicit gridless method with upwind scheme shows that the latter has the following advantages: fast speed of convergence, small numerical dissipation, superior ability to catch shock, advantageous geometrical flexibility and a wide applied range of Mach number.
    将发展的迎风型隐式无网格算法与网格算法和显式无网格算法进行了对比计算,结果表明:基于AUSM+up格式的隐式无网格算法具有收敛速度快、数值耗散小、激波捕捉能力强、几何灵活性好、应用马赫数范围广的优点。
    In this algorithm we introduce a free parameter δ, which may control the decay of amplitude and effectively filter the high mode response from the solution. When δ= 1/6, the basic equations of the algorithm have no numerical dissipation.
    本算法引入一个自由参数δ,用以控制振幅的衰减,致使解中的高振型响应,可以有效地被滤掉,当δ=1/6时,可使算法的原始方程没有数值耗散
    To solve numerical dissipation and dispersion in numerical solution of convection-diffuson equation, a numerical procedure for simulating the convection-diffusion movement has been developed. The procedure is based on a governing equation which can be divided into Euler type convection equation and Lagrange type diffusion equation.
    为解决对流—扩散型方程数值解中出现的数值耗散和数值弥散,本文通过质点导数概念,将物理方程分解为Euler形式下的对流型方程和Lagrange形式下的扩散型方程,采用特征线法和区域离散数值方法分别求解,二者合成即为对流一扩散运动的整体数值模拟过程。
    The numerical dissipation and dispersion of Hybrid Finite Analytic Method are investigated by using four-point implicit scheme of HFAM.
    本文以混合有限分析4点隐格式为例,分析了这一格式的数值耗散及数值频散.
    It is found that the numerical dissipation is second order and the numerical dispersion is third order.
    得出该格式的数值耗散为二阶,数值频散为三阶.
    In order to reduce the numerical viscosities of TVD schemes and improve their resolution, this paper suggests a new TVD scheme of Harten form with less numerical dissipation. Numerical experiments show that such a TVD scheme is better than Harten TVD scheme [1] and modified Harten scheme (Harten-Yee TVD scheme [2] ) in simulating boundary layer and vortices.
    为了减小TVD格式的数值粘性,提高TVD格式的分辨度,提出了一种 具有较小数值耗散的Harten型TVD格式.数值模拟结果表明,这种Harten型TVD 格式比原来的Harten格式[1]及其改进形式Harten—Yee[2]的TVD格式能更好地模拟 出边界层及涡流。
    The completed calculations of the flows in a dust-gas shock tube show that the quasicharacteristic method has the advantages of high precision and small numerical dissipation and dispersion.
    含灰气体激波管流动的计算表明,类特征线法具有精度高、数值耗散和弥散小等优点
    The paper also presents the basic ideas on reconstruction of numerical solution distribution,based on the proposed TVD requirements,to reduce numerical dissipation and improve resolution of the contact discontinuities and head/tail of rarefaction waves.
    同时提出了基于TVD需求再构数值解分布,以降低数值耗散从而提高接触面及膨胀波头/波尾分辨率的基本思路。
    Through comparing different results of simulating shock reflection flow over a forward step using different schemes including Roe and van Leer schemes,the advanced upwind scheme(AUSM+) is fully studied in terms of its resolution and efficiency for shock waves,expansion vaves,contact discontinuities and their interactions. Its advantages of low numerical dissipation and high resolution for discontinuities are demonstrated.
    研究了新型上风格式AUSM+的分辨率、效率等性能,并用它与Roe、vanLeer上风格式数值模拟了前向台阶激波反射流动,通过对激波、膨胀波、接触间断及其间相互干扰的复杂波系的模拟对比,分析探讨了AUSM+格式的低数值耗散、间断高分辨率等特性。
    Aim To reduce the numerical dissipation, increase accuracy of numerical solution of hyperbolic equations, and keep numerical stability, solving the flow problem with contact discontinuity.
    目的 为进一步提高双曲型方程数值解的精度,减少数值耗散,同时保证稳定性,处理有强间断的流动问题;
    Conclusion The numerical dissipation of high resolution schemes can be reduced further more, and numerical test with the scheme shows higher resolution of contact discontinuity.
    结论 进行的数值实验证明,高分辨格式可以进一步减小数值耗散,提高数值解精度;
    Moreover,since the present methods have less numerical dissipation than WENO scheme with the same order,they could be used to solve the H-J equations more accurately in the simulation of multi-scale complex flows.
    相比于同阶精度的WENO格式,本方法具有更小的数值耗散,从而有利于多尺度复杂流动的模拟中H J方程的求解.
    In order to reduce effectively the numerical dissipation of the rotor wake vorticity induced by Jameson's second-order cell-centered finite volume approach,with the combination of the third-order upwind scheme (MUSCL) and flux-difference splitting scheme,a numerical method based upon the solution of three-dimensional Reynolds-average N-S equations has been developed to simulate the flowfield around a lifting rotor in hovering.
    为减少Jameson二阶中心差分有限体积法导致的旋翼尾迹的数值耗散,将三阶逆风格式(MUSCL)与通量差分裂方法相结合,建立了一个三维雷诺平均N-S方程数值模拟悬停状态旋翼流场的方法。
    The embedded grids methodology was adopted so as to weaken the numerical dissipation of the wake and be easy to apply the above mentioned boundary conditions.
    为进一步减少尾迹数值耗散和便于添加上述边界条件,采用了嵌套网格方法。
 

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