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  2. Boundary conditions in fluid dynamics - Wikipedia

    en.wikipedia.org/wiki/Boundary_conditions_in...

    Showing wall boundary condition. The most common boundary that comes upon in confined fluid flow problems is the wall of the conduit. The appropriate requirement is called the no-slip boundary condition, wherein the normal component of velocity is fixed at zero, and the tangential component is set equal to the velocity of the wall. [1]

  3. Boundary conditions in computational fluid dynamics - Wikipedia

    en.wikipedia.org/wiki/Boundary_conditions_in...

    The nodes just outside the inlet of the system are used to assign the inlet conditions and the physical boundaries can coincide with the scalar control volume boundaries. This makes it possible to introduce the boundary conditions and achieve discrete equations for nodes near the boundaries with small modifications.

  4. No-slip condition - Wikipedia

    en.wikipedia.org/wiki/No-slip_condition

    The form of this boundary condition is an example of a Dirichlet boundary condition. In the majority of fluid flows relevant to fluids engineering, the no-slip condition is generally utilised at solid boundaries. [2] This condition often fails for systems which exhibit non-Newtonian behaviour. Fluids which this condition fails includes common ...

  5. Finite element method - Wikipedia

    en.wikipedia.org/wiki/Finite_element_method

    The practical application of FEM is known as finite element analysis (FEA). FEA, as applied in engineering , is a computational tool for performing engineering analysis . It includes the use of mesh generation techniques for dividing a complex problem into smaller elements, as well as the use of software coded with a FEM algorithm.

  6. Computational methods for free surface flow - Wikipedia

    en.wikipedia.org/wiki/Computational_methods_for...

    This can be the boundary between two homogeneous fluids, like water in an open container and the air in the Earth's atmosphere that form a boundary at the open face of the container. Computation of free surfaces is complex because of the continuous change in the location of the boundary layer. Conventional methods of computation are ...

  7. Boundary value problem - Wikipedia

    en.wikipedia.org/wiki/Boundary_value_problem

    Boundary value problems are similar to initial value problems.A boundary value problem has conditions specified at the extremes ("boundaries") of the independent variable in the equation whereas an initial value problem has all of the conditions specified at the same value of the independent variable (and that value is at the lower boundary of the domain, thus the term "initial" value).

  8. Dirichlet boundary condition - Wikipedia

    en.wikipedia.org/wiki/Dirichlet_boundary_condition

    In mathematics, the Dirichlet boundary condition is imposed on an ordinary or partial differential equation, such that the values that the solution takes along the boundary of the domain are fixed. The question of finding solutions to such equations is known as the Dirichlet problem .

  9. Robin boundary condition - Wikipedia

    en.wikipedia.org/wiki/Robin_boundary_condition

    Robin boundary conditions are commonly used in solving Sturm–Liouville problems which appear in many contexts in science and engineering. In addition, the Robin boundary condition is a general form of the insulating boundary condition for convection–diffusion equations. Here, the convective and diffusive fluxes at the boundary sum to zero: