Implicit TVD schemes for hyperbolic conservation laws in curvilinear coordinatesThe Harten (1983, 1984) total variation-diminishing (TVD) schemes, constituting a one-parameter explicit and implicit, second-order-accurate family, have the property of not generating spurious oscillations when applied to one-dimensional, nonlinear scalar hyperbolic conservation laws and constant coefficient hyperbolic systems. These methods are presently extended to the multidimensional hyperbolic conservation laws in curvilinear coordinates. Means by which to linearize the implicit operator and solution strategies, in order to improve the computation efficiency of the implicit algorithm, are discussed. Numerical experiments with steady state airfoil calculations indicate that the proposed linearized implicit TVD schemes are accurate and robust.
Document ID
19850058797
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Yee, H. C. (NASA Ames Research Center Moffett Field, CA, United States)
Harten, A. (Tel Aviv University Israel; California, University, Los Angeles, United States)