A Posteriori Error Estimation by Postprocessor Independent of Flowfield Calculation Method
نویسندگان
چکیده
We consider a postprocessor that is able to analyze the flow-field generated by an external (unknown) code so as to determine the error of useful functionals. The residuals generated by the action of a high order finite-difference stencil on a numerically computed flow-field are used for adjoint based a-posteriori error estimation. The method requires information on the physical model (PDE system), flowfield parameters and corresponding grid and may be constructed without availability of detailed information on the numerical method used for the flow computation.
منابع مشابه
A posteriori error estimation by postprocessor independent of method of flowfield calculation
1. I N T R O D U C T I O N The present paper is a imed at the quant i ta t ive es t imat ion of approx imat ion error in the verification of computa t iona l codes [1-3]. The error in prac t ica l ly useful functionals due to the approx imat ion error may be calcula ted using adjoint equat ions and different forms of the residual [4-13]. For example, the residual may be calcula ted for a differ...
متن کاملA posteriori pointwise error estimation for compressible fluid flows using adjoint parameters and Lagrange remainder Short title: A posteriori pointwise error estimation using adjoint parameters
The pointwise error of a finite-difference calculation of supersonic flow is discussed. The local truncation error is determined by a Taylor series with the remainder being in a Lagrange form. The contribution of the local truncation error to the total pointwise approximation error is estimated via adjoint parameters. It is demonstrated by numerical tests that the results of the numerical calcu...
متن کاملReduced Basis Approximation and A Posteriori Error Estimation for the Time-Dependent Viscous Burgers Equation
In this paper we present rigorous a posteriori L2 error bounds for reduced basis approximations of the unsteady viscous Burgers equation in one space dimension. The key new ingredient is accurate solution–dependent (Online) calculation of the exponential–in–time stability factor by the Successive Constraint Method. Numerical results indicate that the a posteriori error bounds are practicable fo...
متن کاملA posteriori $ L^2(L^2)$-error estimates with the new version of streamline diffusion method for the wave equation
In this article, we study the new streamline diffusion finite element for treating the linear second order hyperbolic initial-boundary value problem. We prove a posteriori $ L^2(L^2)$ and error estimates for this method under minimal regularity hypothesis. Test problem of an application of the wave equation in the laser is presented to verify the efficiency and accuracy of the method.
متن کاملPresenting a new equation for estimation of daily coefficient of evaporation pan using Gene Expression Programming and comparing it with experimental methods (Case Study: Birjand Plain)
One of the most important componenets of water management in farms is estimating crops’ exact amount of evapotranspiration (water need). The FAO-Penman-Montheis (FPM) method is a standard method to evaluate other techniques which are used for easy calculation of potential evapotranspiration, when lysimeter datasheets are not available. This study was carried out based on 18 years’ climatic dat...
متن کامل