Second-order Slope Limiters for the Simultaneous Linear Advection of (not So) Independent Variables

نویسنده

  • QUANG HUY TRAN
چکیده

We propose a strategy to perform second-order enhancement using slope-limiters for the simultaneous linear advection of several scalar variables. Our strategy ensures a discrete min-max principle not only for each variable but also for any number of non-trivial combinations of them, which represent control variables. This problem arises in fluid mechanics codes using the Arbitrary Lagrange-Euler formalism, where the additional monotonicity property on control variables is required by physical considerations within the remap step.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Second Order Positive Schemes by means of Flux Limiters for the Advection Equation

In this paper, we study first and second order positive numerical methods for the advection equation. In particular, we consider the direct discretization of the model problem and comment on its superiority to the so called method of lines. Moreover, we investigate the accuracy, stability and positivity properties of the direct discretization. The numerical results related to several test probl...

متن کامل

A general approach to enhance slope limiters on non-uniform rectilinear grids

A general approach to study and enhance the slope limiter functions on non-uniform grids is presented. Slope limiters are preferred in high-resolutions schemes in general and MUSCL in particular to solve hyperbolic conservation laws. However, most 1D limiters are developed assuming uniform meshes in space, which are shown to be inadequate on non-uniform grids. Especially, secondorder convergenc...

متن کامل

Evaluation of Roe s Method with Different Limiters in Supersonic 2-D and Axisymmetric Flows

2-D and axisymmetric Navier-Stokes equations are solved using Reiman-Roe solver with different limiters for second-order accurate schemes. The results were obtained for supersonic viscous flows over semi-infinite axisymmetric and 2-D bodies. The free stream Mach numbers were 7.78 and 16.34. The stability of Roe method with different limiters and entropy conditions were considered. The results s...

متن کامل

Evaluation of Roe s Method with Different Limiters in Supersonic 2-D and Axisymmetric Flows

2-D and axisymmetric Navier-Stokes equations are solved using Reiman-Roe solver with different limiters for second-order accurate schemes. The results were obtained for supersonic viscous flows over semi-infinite axisymmetric and 2-D bodies. The free stream Mach numbers were 7.78 and 16.34. The stability of Roe method with different limiters and entropy conditions were considered. The results s...

متن کامل

Extremum-Preserving Limiters for MUSCL and PPM

Limiters are nonlinear hybridization techniques that are used to preserve positivity and monotonicity when numerically solving hyperbolic conservation laws. Unfortunately, the original methods suffer from the truncation-error being 1 order accurate at all extrema despite the accuracy of the higher-order method [1, 2, 3, 4]. To remedy this problem, higherorder extensions were proposed that relie...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008