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数值通量
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  numerical flux
     The solve of numerical flux across the bounding surface is the core of the FVM, by using FVS(Flux Vector Splitting) ,this paper solve the Riemann Problem and get the numerical flux.
     求解跨单元边界的数值通量是有限体积法的核心,该文采用通量向量分裂格式(Flux Vector Splitting)求解黎曼问题,得到跨边界数值通量
短句来源
     A high-resolution method for solving one-dimensional shallow water equations is presented by combing the semi-discrete central-upwind numerical flux with the third-order weighted essentially non-oscillatory(WENO) reconstruction.
     将半离散中心迎风数值通量和三阶WENO重构结合起来,由此得到了一种求解一维浅水方程的高分辨率数值方法.
短句来源
     Numerical flux is scattered through 3rd order Roe scheme and the 2nd order Harten-Yee TVD scheme separately.
     数值通量分别采用三阶精度Roe格式和二阶精度Harten-Yee的TVD格式离散.
短句来源
     On the base of the distributed clouds of points,local least-squares curve fits and the AUSM~+-up scheme are used to obtain the numerical flux.
     在点云离散的基础上,运用曲面拟合和AUSM+-up格式求得数值通量;
短句来源
     In constructing of finite volume scheme, it is a key step to construct the numerical flux terms, which will directly affects the accuracy and resolution of the schemes, especially the adaptive ability of the method.
     在构造有限体积格式时,数值通量的构造是个关键,它直接关系到格式的精度、效用和分辨率,特别是关系到方法的自适应性。
短句来源
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  numerical fluxes
     and following Berger and Colella , we have realized numerical fluxes conservation on the interfaces between the coarse and fine grids, so that discontinuous solutions can be computed.
     Colella,对守恒型方程组,实现了粗细网格交接面上数值通量守恒,从而能计算间断解。
短句来源
     Furthermore the correction is introduced. Second,the approximate Riemann solver is used to compute numerical fluxes at small-intervals boundaries,and a high-order accurate full discretization method is obtained by applying high-order Runge-Kutta TVD time discretization.
     其次,利用近似Riemann解计算细小区间交界面上的数值通量,并结合高阶Runge-Kutta TVD时间离散方法,得到了高精度的全离散方法。
短句来源
     Based on flux splitting and upwind property,a new kind of second order accurate difference scheme is obtained for 1D nonlinear hyperbolic conservation laws by computing the positive and negative numerical fluxes at the cell boundaries and applying high order Runge-Kutta TVD time discretization. And then,the TVD property of the scheme is proved.
     基于通量分裂和逆风特性,选取单元交界面上的正、负数值通量,并结合高阶Runge-KuttaTVD时间离散方法,构造了一维非线性双曲型守恒律的一类二阶精度的差分格式,证明了差分格式的TVD特性。
短句来源
     thirdly, for numerical fluxes constructing, we give two kinds of different numerical fluxes-KFVS and BGK numerical fluxes by using gas-kinetic schemes.
     对离散格式中数值通量的构造,我们采用分子动力学方法,给出了KFVS和BGK两种不同的数值通量
短句来源
     The main contribution is that the bottom topography effect is included in numerical fluxes and the bottom topography is discretized with an interface method in the same step.
     本文的主要贡献在于,河床地势的影响被容入数值通量中,并且同时对河床地势采用连接面方法离散。
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  “数值通量”译为未确定词的双语例句
     A third-order semi-discrete central-upwind scheme for hyperbolic conservation laws was presented.
     通过三阶WENO重构和半离散中心迎风数值通量的结合,给出了一种求解双曲型守恒律方程的三阶半离散中心迎风格式.
短句来源
     With the Marten's modified flux function to calculate the right hand side operators of the hybrid scheme, such treatment can guarantee the second order accuracy of the converged steady-state solutions under the condition of a =1/2 and high resolution in capturingshock waves.
     以Harten的数值通量计算杂交格式右边的通量,这样做在a=1/2的条件下,可保证收敛的稳态解具有二阶精度并能高分辨率地捕获激波。
短句来源
     Ordinarily the flux terms were approximated by high order interpolation polynomials with a limiter.
     一般的有限体积格式主要采用具有限制器的高阶插值多项式来逼近控制单元边界处的数值通量;
短句来源
     The LU decomposition is applied to discretize the implicit part of the Euler equations and the Harten's viscous terms to handle the usually called residual of steady-state solutions.
     LU分解用于Euler方程隐式部分的离散化而Harten的数值通量控制所谓的稳态解残差。
短句来源
     Under the framework of finite volume method, Osher scheme of approximate Riemann solvers is employed.
     在有限体积法框架下应用Osher黎曼近似解格式解算模型中各跨单元边界的数值通量,进而求得方程的数值解。
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  numerical flux
The numerical flux of semi-discrete equations is computed by using the Roe approximation.
      
In this paper, we propose a new method to compute the numerical flux of a finite volume scheme, used for the approximation of the solution of the nonlinear partial differential equation ut+div(qf(u))-ΔΦ(u)=0 in a 1D, 2D or 3D domain.
      
We show that the expression for the numerical flux can be yielded without referring to this solution.
      
The method uses a preconditioning of the dissipation term within the numerical flux function only.
      
This approach introduces an error proportional to the time step and the overall scheme is only first order accurate if special care is not taken in the definition of the numerical flux approximation for advection.
      
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  numerical fluxes
In this context, we use a natural description of the microscopic behavior of the system to define numerical fluxes at the interfaces of an unstructured mesh.
      
Fluxsplitting procedures are applied to discretize the implicit part of the Euler equations whereas Harten's numerical fluxes are used to calculate the residual of steady-state solutions.
      
The transmission conditions across the interface separating the subdomains where the different formulations are applied are taken into account by a suitable definition of the so-called numerical fluxes.
      
For these new methods we present correct interface numerical fluxes and prove L2 stability for general nonlinear problems.
      
The advective fluxes are calculated using an approximate Riemann solver while the dispersive fluxes are obtained by centred numerical fluxes.
      
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A new implicit hybrid scheme, by coupling the Jameson and Turkel's LU decompositions with modified viscous terms in Harten's TVD(total variation diminishing) formulation is presented. The LU decomposition is applied to discretize the implicit part of the Euler equations and the Harten's viscous terms to handle the usually called residual of steady-state solutions. With carefully constructed LU factors the inversion of such a scheme can be very easy and efficient since only one explicit point by point sweep is...

A new implicit hybrid scheme, by coupling the Jameson and Turkel's LU decompositions with modified viscous terms in Harten's TVD(total variation diminishing) formulation is presented. The LU decomposition is applied to discretize the implicit part of the Euler equations and the Harten's viscous terms to handle the usually called residual of steady-state solutions. With carefully constructed LU factors the inversion of such a scheme can be very easy and efficient since only one explicit point by point sweep is necessary for each LU factor.With the Marten's modified flux function to calculate the right hand side operators of the hybrid scheme, such treatment can guarantee the second order accuracy of the converged steady-state solutions under the condition of a =1/2 and high resolution in capturingshock waves. Numerical experiments show that the scheme is quite robust and can generate good shock resoution for steady-state computations.

本文提出一个新的杂交格式,它由Jameson-Turkel LU分解法和Harten TVD(total variation diminishing)格式的修正数值通量耦合而成。LU分解用于Euler方程隐式部分的离散化而Harten的数值通量控制所谓的稳态解残差。精心构造LU算子,可使矩阵算子L和U很容易逐点推进求逆;以Harten的数值通量计算杂交格式右边的通量,这样做在a=1/2的条件下,可保证收敛的稳态解具有二阶精度并能高分辨率地捕获激波。数值实验表明,本文格式对于稳态计算是有生命力的并能保证较高的激波分辨率。

A method which Combines the numerical flux of high accurate TVD scheme with multistage method in time approaching is developed to calculate the problems of 2-D steady flow. Some special treatments are given to accelerate convergency. The numerical results of transonic flow over NAG A 0012 airfoil are obtained by this method. They show that this method is high accurate, of high resolut- ion nd time-saving,

本文结合高精度TVD格式的数值通量和时间进展多步法给出了一种求解定常流问题的数值方法。同时给出一些特殊处理来加快数值解的收敛速度。本文用以上方法计算了翼型跨音速绕流问题,结果表明此方法具有分辨率高,收敛速度较快之性质。

In this paper, a new class of explicit, two-step, second-order accurate, finite difference schemes for the computation of weak solutions of nonlinear hyperbolic conservation laws are presented. These highly accurate and nonlinear schemes are constructed by applying the numerical flux of three point monotonic schemes and the flux limiters. These new schems are total-variation-diminishing (TVD) under the the CFL-like restrictions, hence do not imply spurious oscillations, such as those generated by the two-step...

In this paper, a new class of explicit, two-step, second-order accurate, finite difference schemes for the computation of weak solutions of nonlinear hyperbolic conservation laws are presented. These highly accurate and nonlinear schemes are constructed by applying the numerical flux of three point monotonic schemes and the flux limiters. These new schems are total-variation-diminishing (TVD) under the the CFL-like restrictions, hence do not imply spurious oscillations, such as those generated by the two-step Lax-Wendroff scheme, the Maccom-ark scheme and other classical second-order accurate schemes near discontinuities of the solutions.In order to decrease the complexity of the computational algorithms, which are generated by Roe extended technique, we extend the scalar difference schemes to systems based on the thought from Davis,S.F.and using Rusanov numerical flux. A new class of predicter-corrector difference schemes for hyperbolic conservation laws, which are only slightly more complex than standard predictor-corrector finite difference schemes, are constructed. Preliminary numerical results obtained show that these schemes are nonoscillatory and have good shock resolution.

本文提出了计算非线性双曲型守恒律弱解的一类新的二步二阶精度有限差分格式,这类高精度非线性差分格式的构造应用了三点单调差分格式的数值通量和通量限制器。文章证明,在拟CFL条件限制下,格式为总变差衰减差分格式(TVD格式),因此不发生常用的诸如二步二阶Lax-Wendroff格式、Maccomark格式和其他古典二阶格式计算不连续解时在其周围出现的剧烈振荡现象。 为了减少Roe推广技术引起的计算复杂性,文中我们基于Davis,S.F.的思想,使用了Rusanov数值通量,把标量差分格式推广到方程组,构造了求解双曲型守恒律方程组的新的预测-修正格式,较之其他一般的预测-修正格式而言,仅增加了很少的计算复杂性,初步的数值试验表明,本文提出的格式无振荡和具有极好的激波分辨率。

 
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