Print Email Facebook Twitter Numerical modelling and fast-solver calculation of approximately normal shocks Title Numerical modelling and fast-solver calculation of approximately normal shocks Author Boerstoel, J.W. Institution National Aeropsace Laboratory NLR Date 1982-05-12 Abstract The calculation of transonic flows with shocks with multigrid fastsolver algorithms is known to be not so efficient as in elliptic problems, because the appropriate treatment of shocks is a problem. As a first step to a solution, a few ideas concerning the design of finite-difference equations over shocks and the rapid calculation of such flows with a fast solver are presented. The fast solver studied here consists of a combination of Newton iteration and full multigrid relaxation. The ideas were applied to calculate steady transonic potential flows in a one-dimensional channel, and around an aerofoil. It was found that the fast solver has full convergence speed if shockwave positions are updated by a simple special subalgorithm in the fast solver; this subalgorithm eliminates discontinuity jumps that arise at shocks during iterations. Results of numerical experiments illustrate the findings. To reference this document use: http://resolver.tudelft.nl/uuid:e2c8a2b0-4330-48f9-ab83-bbeb713982b3 Publisher Nationaal Lucht- en Ruimtevaartlaboratorium Access restriction Campus only Source NLR MP 82026 U Part of collection Aerospace Engineering Reports Document type report Rights (c) 1982 National Aeropsace Laboratory NLR Files PDF 82026.pdf 8.64 MB Close viewer /islandora/object/uuid:e2c8a2b0-4330-48f9-ab83-bbeb713982b3/datastream/OBJ/view