In the first part, an extension of upwind residual distribution schemes for high-order accurate solution of hyperbolic problems is introduced, based on the use of spatially varying distribution matrices. Following this, the application to adjoint-based error estimation for steady compressible flow is presented. Finally the resolution of acoustic wave propagation by a space-time residual distribution is discussed. The accuracy of the methodology is demonstrated on several test cases.
CITATION STYLE
Vymazal, M., Koloszar, L., D’angelo, S., Villedieu, N., Ricchiuto, M., & Deconinck, H. (2015). High-order residual distribution and error estimation for steady and unsteady compressible flow. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, 128, 381–395. https://doi.org/10.1007/978-3-319-12886-3_17
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