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numerical dissipation
It has been well studied that the γ-function explicit method can be effective in providing favorable numerical dissipation for linear elastic systems.
      
It is also shown that this integration method provides favorable numerical dissipation not only for linear elastic systems but also for nonlinear systems.
      
Furthermore, the numerical dissipation of the method can be flexibly regulated, so that it is especially suitable for solving various discontinuity problems.
      
For different limiters, the different strength of numerical dissipation and dispersion of schemes is the reason why the schemes show obvious different characteristics.
      
After analysing and comparing the numerical dissipation and dispersion of various schemes, a new kind of limiter is proposed.
      
To avoid unwanted numerical dissipation in the numerical analysis, the space-time conservation element and solution element (CESE) method has been adopted to solve the unsteady 1-D Navier-Stokes equations.
      
Detailed analyses on stability, numerical dissipation and numerical dispersion are also given.
      
The new method is unconditionally stable and has controllable numerical dissipation at high frequencies.
      
A new strategy combining numerical methods with small and large numerical dissipation is developed for elastodynamics.
      
We use the Streamline-Upwind/Petrov-Galerkin (SUPG) method with a shock-capturing technique which increases the amount of numerical dissipation in the neighbourhood of layers without loosing the high accuracy in regions where the solution is smooth.
      
With the help of a simple technique, the capability of the Jameson-Schmidt-Turkel numerical dissipation scheme has been enhanced to include hypersonic flows.
      
Several examples of simulation of realistic multi-body systems are presented which illustrate the efficiency and accuracy of the proposed schemes, and demonstrate the need for unconditional stability and high frequency numerical dissipation.
      
This method is an alternative to using numerical dissipation or smoothing operators in velocity space.
      
We propose a numerical scheme in which the numerical dissipation is controlled in such a way that the results for large time are meaningful.
      
Multiresolution Wavelet Based Adaptive Numerical Dissipation Control for High Order Methods
      
To detect non-smooth behavior and control the amount of numerical dissipation to be added, Yee et al.
      
The new sensors are derived from utilizing appropriate non-orthogonal wavelet basis functions and they can be used to completely switch off the extra numerical dissipation outside shock layers.
      
Both wavelet sensors can be viewed as dual purpose adaptive methods leading to dynamic numerical dissipation control and improved grid adaptation indicators.
      
The numerical dissipation considered consists of high order linear dissipation for the suppression of high frequency oscillation and the nonlinear dissipative portion of high-resolution shock-capturing methods for discontinuity capturing.
      
The objective of this paper is to investigate the performance of three commonly used types of discontinuity capturing nonlinear numerical dissipation for both the ideal and non-ideal MHD.
      
 

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