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In small saucepan, combine coconut water and sugar and bring to boil.
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Reduce heat to medium-low and simmer without stirring for 2 minutes. Remove from heat.
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Add pineapple to food processor. Purée until smooth and creamy for 1 minute. Add sugar syrup and lime juice and blend for 10 seconds more.
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Pour pineapple mixture into flat, shallow baking dish or plastic storage container.
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Freeze for 1 hour, or until just starting to freeze around edges. With fork, break frozen pieces apart and stir back into mixture.
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Repeat every 30-45 minutes, until mixture resembles flaky, finely crushed ice. Entire process will take anywhere from 3-6 hours, depending on container size and freezer temperature.
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Scoop into glasses and garnish as desired.
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Serve immediately.