Accurate multigrid solution of the Euler equations on unstructured and adaptive meshes
نویسندگان
چکیده
منابع مشابه
Multigrid Acceleration of an Upwind Euler Solver on Unstructured Meshes
Multigrid acceleration has been implemented for an upwind ow solver on unstructured meshes. The ow solver is a straightforward implementation of Barth and Jespersen's unstructured scheme, with least-squares linear reconstruction and a directional implementation of Venkatakr-ishnan's limiter. The multigrid scheme itself is designed to work on mesh systems which are not nested, allowing great exi...
متن کاملA Finite Volume Method for the Two-dimensional Euler Equations with Solution Adaptation on Unstructured Meshes
A cell-vertex finite volume method is used to discretize the Euler equations on unstructured triangular meshes. A five-stage Runge-Kutta pseudo-time integration scheme is used to march the solution to steady state. Non-linear artificial viscosity is added to eliminate pressure-velocity decoupling and to capture shocks. The boundary conditions at inflow and outflow are based on the method of cha...
متن کاملMultigrid Solution of the Navier-Stokes Equations on Triangular Meshes
A new Navier-Stokes algorithm for use on unstructured triangular meshes is presented. Spatial discretization of the governing equations is achieved using a finite-element Galerkin approximation, which can be shown to be equivalent to a finite-volume approximation for regular equilateral triangular meshes. Integration to steady state is performed using a multistage time-stepping scheme, and conv...
متن کاملA Multigrid Method for Steady Euler Equations on Unstructured Adaptive Grids
SUMMARY A ux-diierence splitting type algorithm is formulated for the steady Euler equations on un-structured grids. The polynomial ux-diierence splitting technique is used. A vertex-centered nite volume method is employed on a triangular mesh. The multigrid method is in defect-correction form. A relaxation procedure with a rst order accurate inner iteration and a second-order correction perfor...
متن کاملexistence and approximate $l^{p}$ and continuous solution of nonlinear integral equations of the hammerstein and volterra types
بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: AIAA Journal
سال: 1990
ISSN: 0001-1452,1533-385X
DOI: 10.2514/3.10377