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First and higher order interface models are derived for soft and hard adhesives.
To construct higher order interface schemes, the proposed MIB method bypasses the major challenge of implementing high order jump conditions by repeatedly enforcing the lowest order jump conditions.
There are several components to this procedure, including the new body force algorithm, improvements in the projection method for the Navier Stokes solver, and a higher order interface advection scheme.
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This paper introduces a novel high order interface scheme, the matched interface and boundary (MIB) method, for solving elliptic equations with discontinuous coefficients and singular sources on Cartesian grids.
To better understand the MIB method and other potential high order interface schemes, we propose an alternative interpolation formulation of the MIB method and show that the new formulation is essentially equivalent to the improved one.
Although high-order interface-capturing schemes have been used to accurately simulate gas/liquid interfaces with the Euler equations, these methods can result in temperature spikes at material discontinuities.
The present paper deals with the derivation of a higher order theory of interface models.
This work overcomes the difficulty of dealing with large curvatures in a high order matched interface and boundary (MIB) method proposed for solving elliptic interface problems.
This solver allows accurate flow solutions of the laminar and turbulent 3D incompressible Navier Stokes equations on moving and static regions coupled through a high order sliding interface.
High order and interface preservation are achieved by applying a simple mapping that transforms the regional level-set function to the level-set function and a high-order two-step reinitialization method which is a combination of the closest point finding procedure and the HJ-WENO scheme.
This paper presents a new high-order immersed interface method for elliptic equations with imbedded interface of discontinuity.
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