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Why Is the Current State-of-the-
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art Not Adequate?
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1. Time advance scheme is too inefficient
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- Every cell is updated regardless of whether a
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change has
occurred
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- Time step is not based
on local conditions
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2. Existing time advance schemes do not
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allow code-code coupling
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3. The “curse” of Courant condition
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- physically the system should be stable if
there is
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no
change regardless of how fast information is
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propagating but
numerically it is not
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