The aim of this study was to conduct flood analysis with digital modeling systems and estimate the total flood damage in a built-up area. The Ceviz Stream basin, which is located in Unye (Ordu) district in the Eastern Black Sea region of Turkey, was selected as the study area. A 1D/2D coupled flood modeling software MIKE FLOOD was used in flood analysis. According to the modeling results, water depth and velocity maps are produced for maximum Q₅₀, Q₁₀₀, Q₅₀₀ and Q₁₀₀₀ discharge scenarios in the most downstream section of the Ceviz Stream. At the projected Q_50, Q₁₀₀, Q₅₀₀ and Q₁₀₀₀ maximum flow rates, approximately 9.75%, 23.0%, 30.0% and 32.25% of that section of the study area were estimated to be negatively affected by floodwaters. In order to examine the financial magnitude of the effects of flooding, the Huizinga, van Eck and Kok, ICBR and Pistrika and Jonkman damage estimation methodologies were applied, with the highest financial costs estimated with the Pistrika and Jonkman method.