A NEW FAMILY OF STREAMLINE-BASED VERY-HIGH-RESOLUTION SCHEMES

A number of high-resolution (HR) schemes are reformulated in streamlin e-based coordinates and bounded using the convection boundedness crite rion (CBC) in the context of the normalized variable and space formula tion methodology (NVSF). This new approach yields a family of very-hig h-resolution (VHR) schemes Bat combines the advantages of Be tradition al HR schemes with the multidimensional nature of streamline-based sch emes. The resultant VHR schemes, which are based on the MINMOD, OSHER, MUSCL, CLAM, SMART STOIC, EXPONENTIAL, and SUPER-C HR schemes, are te sted and compared with their base IIR schemes by solving four problems : (1) pure convection of a step profile in an oblique velocity field; (2) sudden expansion of an oblique velocity field in a rectangular cav ity; (3) driven flow in a skew cavity; and (4) gradual expansion in an axisymmetric, nonorthogonal channel. Results reveal that Be new schem es are bounded and are by far more accurate than Be original HR scheme s in situations when the flow is highly skew to Be grid lines.