Gerris: a tree-based adaptive solver for the incompressible Euler equations in complex geometries
نویسندگان
چکیده
منابع مشابه
Gerris: a Tree-based Adaptive Solver for the Incompressible Euler Equations in Complex Geometries
An adaptive mesh projection method for the time-dependent incompressible Euler equations is presented. The domain is spatially discretised using quad/octrees and a multilevel Poisson solver is used to obtain the pressure. Complex solid boundaries are represented using a volume-of-fluid approach. Second-order convergence in space and time is demonstrated on regular, statically and dynamically re...
متن کاملA Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries
Many problems in fluid dynamics require the representation of complicated internal or external boundaries of the flow. Here we present a method for calculating time-dependent incompressible inviscid flow which combines a projection method with a “Cartesian grid” approach for representing geometry. In this approach, the body is represented as an interface embedded in a regular Cartesian mesh. Th...
متن کاملA Cell-Centered Cartesian Grid Projection Method for the Incompressible Euler Equations in Complex Geometries
1 Abstract Many problems in uid dynamics have domains with complicated internal or external boundaries of the ow. Here we present a method for calculating time-dependent incompressible inviscid ow using a \Cartesian grid" approach for representing geometry. In this approach, the body is represented as an interface embedded in a regular Cartesian mesh. The basic algorithm is a fractional-step pr...
متن کاملAn Adaptive Projection Method for the Incompressible Euler Equations
In this paper we present a method for solving the time-dependent incompressible Euler equations on an adaptive grid. The method is based on a projection formulation in which we first solve convection equations to predict intermediate velocities, and then project these velocities onto a space of approximately divergence-free vector fields. Our treatment of the convection step uses a specialized ...
متن کاملAn Adaptive Finite Volume Method for the Incompressible Navier-Stokes Equations in Complex Geometries
We present an adaptive, finite volume algorithm to solve the incompressible NavierStokes equations in complex geometries. The algorithm is based on the embedded boundary method in which finite volume approximations are used to discretize the solution in cut cells that result from intersecting the irregular boundary with a structured Cartesian grid. This approach is conservative and reduces to a...
متن کاملذخیره 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: Journal of Computational Physics
سال: 2003
ISSN: 0021-9991
DOI: 10.1016/s0021-9991(03)00298-5