Refinement of A Posteriori pointwise Error Estimation for Compressible Fluid Flows using adjoint parameters and Lagrange remainder
نویسندگان
چکیده
The pointwise error of a finite-difference calculation of supersonic flow is considered. The local truncation error is determined using 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 numerical calculation of gasdynamics parameter at an observation point may be refined and an error bound may be estimated. The results of numerical tests for a case of parabolized Navier-Stokes (PNS) equations are presented as an illustration of the proposed method.
منابع مشابه
A 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...
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