Yen Liu

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An efficient, high-order, conservative method named the spectral difference method has been developed recently for conservation laws on unstructured grids. It combines the best features of structured and unstructured grid methods to achieve high-computational efficiency and geometric flexibility; it utilizes the concept of discontinuous and high-order local(More)
A new, high-order, conservative, and efficient method for conservation laws on unstructured grids is developed. It combines the best features of structured and unstructured grid methods to attain computational efficiency and geometric flexibility ; it utilizes the concept of discontinuous and high-order local representations to achieve conservation and high(More)
In this paper, the fourth in a series, the spectral volume (SV) method is extended to multi-dimensional systems – the 2D Euler equations. The focus of this paper is to study the performance of the SV method on multidimensional non-linear systems, and to verify that high order solution accuracy up to fourth-order can be achieved for the systems of(More)
An implicit non-linear lower-upper symmetric Gauss-Seidel (LU-SGS) solution algorithm has been developed for a high-order spectral difference Navier-Stokes solver on unstructured hexahedral grids. The non-linear LU-SGS solver is precondi-tioned by a block element matrix, and the system of equations is then solved with the LU decomposition approach. The(More)
For the difficulty represented by the nonholonomic constraints of wheeled mobile robot (WMR), and the lack of stabilization ability via smooth time-invariant control law, all these factors make the visual servoing of WMR attractive research field. It seems that visual-based pose stabilization problem is more challenging than visual-based path following(More)
A new, high-order, conservative, and efficient method for conservation laws on unstructured grids is developed. It combines the best features of structured and unstructured grid methods to attain computational efficiency and geometric flexibility; it utilizes the concept of discontinuous and high-order local representations to achieve conservation and high(More)