Numerical solutions of cascade flows by finite element method [Abstract of thesis]
On Patched Variational Principles with Application to Elliptic and Mixed Elliptic-Hyperbolic Problems.
On some properties of solutions of transonic potential flow problems
The paper deals with solutions of transonic potential flow problems handled in the weak form or as variational inequalities. Using suitable generalized methods, which are well known for elliptic partial differential equations of the second order, some properties of these solutions are derived. A maximum principle, a comparison principle and some conclusions from both ones can be established.
On the approximation of a quasilinear mixed problem
On the solution of transonic flows with weak shocks
Remarks on the Solvability of Transonic Flow Problems.
Solutions à près de systèmes d’équations aux dérivées partielles non linéaires de type mixte posés sur des ouverts non bornés
La résolution d’un système d’EDP non linéaires, de type mixte et sous contraintes, est étudiée dans des ouverts non bornés. Le cas considéré est celui d’un modèle d’écoulement transsonique avec condition d’entropie. Le problème est ramené à l’annulation d’une fonctionnelle positive pénalisée, dans un cadre hilbertien. Des solutions généralisées à près sont obtenues par encadrement de la borne inférieure de la fonctionnelle. Si les contraintes sont omises et sous certaines hypothèses, un algorithme...
Solvability of a boundary-value problem for transonic flow in a nozzle.
Stream Vectors in Three Dimensional Aerodynamics.
The complex reflection method for some classes of equations with the third derivative distinguished.
The far-field modelling of transonic compressible flows
We present a method for the construction of artificial far-field boundary conditions for two- and three-dimensional exterior compressible viscous flows in aerodynamics. Since at some distance to the surrounded body (e.g. aeroplane, wing section, etc.) the convective forces are strongly dominant over the viscous ones, the viscosity effects are neglected there and the flow is assumed to be inviscid. Accordingly, we consider two different model zones leading to a decomposition of the original flow...
Time Spectral Method for Periodic and Quasi-Periodic Unsteady Computations on Unstructured Meshes
For flows with strong periodic content, time-spectral methods can be used to obtain time-accurate solutions at substantially reduced cost compared to traditional time-implicit methods which operate directly in the time domain. However, these methods are only applicable in the presence of fully periodic flows, which represents a severe restriction for many aerospace engineering problems. This paper presents an extension of the time-spectral approach...
Transonic flow calculation via finite elements
Using new results based on a convenient entropy condition, two types of algorithms for computing transonic flows are constructed. A sequence of solutions of the linearised problem with a posteriori control is constructed and its convergence to the physical solution of transonic flow in some special situations is proved. This paper contains also numerical results and their analysis for the case of flow past NACA 230012 airfoil. Some numerical improvements of the general algorithms, based on our...
Задача с данными на характеристике для линеаризованного уравнения трансзвуковой газовой динамики
О периодических трансзвуковых течениях вязкого газа
О разрешимости стационарных трансзвуковых уравнений в неограниченной области
Периодическая краевая задача для уравнения трансзвуковой газовой динамики.