Tsangaris, SDrikakis, DThe solution of the compressible Euler and Navier-Stokes equations via an upwind finite volume scheme is obtained. For the inviscid fluxes, the monotone upstream-centered scheme for conservation laws (MUSCL) has been incorporated into a Riemann solver. The MUSCL scheme is used for the unfactored implicit equations that are solved by a Newton form, and relaxation is performed via Gauss-Seidel relaxation technique. The solution on the fine grid is obtained by iterating first on a sequence of coarser grids and then interpolating the solution up to the next refined grid. Since the distribution of the numerical error is nonuniform, the local solution of the equations can be obtained in regions where the numerical errors are large. The construction of the partial meshes, in which the iterations will be continued, is determined by an adaptive procedure taking into account some convergence criteria. Reduction of the computational work units for two-dimensional problems is obtained via the local adaptive mesh solution which is expected to be more effective in three-dimensional complex flow computations.http://hdl.handle.net/123456789/107332ISI:A1992HE967000093480001-145210.2514/3.1092430340engAMER INST AERONAUT ASTRONAUTAIAA journalMonotone Upstream Centered Scheme for Conservation Laws (MUSCL)Aerodynamics - Wings and Airfoilsnavier-stokes equationMathematical Techniques - Iterative MethodsNavier-Stokes EquationsSoftware Package MUSCLLocal Solution Acceleration MethodFlow of FluidsGauss-Seidel RelaxationEuler EquationsComputer Software - ApplicationsSolutionComputer Programming - AlgorithmsLocal solution acceleration method for the Euler and Navier-Stokes equationsjournalArticle1992Δημοσίευση σε περιοδικόPublication in journalΑεροδιαστημική μηχανικήAerospace Engineeringisi - Engineering, Aerospace includes resources concerned with astronautics, aeronautics, aerospace, and aviation. Topics covered include the design and construction of aircraft, space vehicles, missiles, satellites, instrumentation, and power units, as well as the launch, flight, and guidance of crafts in the earth's atmosphere or in space. Resources in this category draw from many fields, including mechanics and mechanical engineering, automation, instrumentation, and materials science.Επιστημονικό άρθροScientific articleΕθνικό Μετσόβιο ΠολυτεχνείοGreek Aggregator OpenArchives.gr | National Documentation Centre (EKT)other